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Finding the Third Proportional to 1,160,373.19 and 1,773,911.63

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Solution

The third proportional to 1,160,373.19 and 1,773,911.63 is: 2,711,853.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,160,373.19 : 1,773,911.63 = 1,773,911.63 : x
  2. Step 2: Convert to fraction form
    1,160,373.19/1,773,911.63 = 1,773,911.63/x
  3. Step 3: Cross multiply
    1,160,373.19x = 1,773,911.63 × 1,773,911.63
  4. Step 4: Simplify right side
    1,160,373.19x = 3,146,762,453,310.14
  5. Step 5: Solve for x
    x = 3,146,762,453,310.14/1,160,373.19
  6. Step 6: Final answer
    x = 2,711,853.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.