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Finding the Third Proportional to 771,194,373.19 and 1,174,861,282.78

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Solution

The third proportional to 771,194,373.19 and 1,174,861,282.78 is: 1,789,819,897.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,194,373.19 : 1,174,861,282.78 = 1,174,861,282.78 : x
  2. Step 2: Convert to fraction form
    771,194,373.19/1,174,861,282.78 = 1,174,861,282.78/x
  3. Step 3: Cross multiply
    771,194,373.19x = 1,174,861,282.78 × 1,174,861,282.78
  4. Step 4: Simplify right side
    771,194,373.19x = 1,380,299,033,778,286,592
  5. Step 5: Solve for x
    x = 1,380,299,033,778,286,592/771,194,373.19
  6. Step 6: Final answer
    x = 1,789,819,897.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.