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Finding the Third Proportional to 381,654,444 and 830,889,652

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Solution

The third proportional to 381,654,444 and 830,889,652 is: 1,808,907,572.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,654,444 : 830,889,652 = 830,889,652 : x
  2. Step 2: Convert to fraction form
    381,654,444/830,889,652 = 830,889,652/x
  3. Step 3: Cross multiply
    381,654,444x = 830,889,652 × 830,889,652
  4. Step 4: Simplify right side
    381,654,444x = 690,377,613,800,681,088
  5. Step 5: Solve for x
    x = 690,377,613,800,681,088/381,654,444
  6. Step 6: Final answer
    x = 1,808,907,572.42

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.