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Finding the Third Proportional to 614,863,288 and 1,327,700,892

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Solution

The third proportional to 614,863,288 and 1,327,700,892 is: 2,866,961,962.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,863,288 : 1,327,700,892 = 1,327,700,892 : x
  2. Step 2: Convert to fraction form
    614,863,288/1,327,700,892 = 1,327,700,892/x
  3. Step 3: Cross multiply
    614,863,288x = 1,327,700,892 × 1,327,700,892
  4. Step 4: Simplify right side
    614,863,288x = 1,762,789,658,617,595,648
  5. Step 5: Solve for x
    x = 1,762,789,658,617,595,648/614,863,288
  6. Step 6: Final answer
    x = 2,866,961,962.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.