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Finding the Third Proportional to 614,737,834 and 944,312,506

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Solution

The third proportional to 614,737,834 and 944,312,506 is: 1,450,579,514.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,737,834 : 944,312,506 = 944,312,506 : x
  2. Step 2: Convert to fraction form
    614,737,834/944,312,506 = 944,312,506/x
  3. Step 3: Cross multiply
    614,737,834x = 944,312,506 × 944,312,506
  4. Step 4: Simplify right side
    614,737,834x = 891,726,108,988,000,000
  5. Step 5: Solve for x
    x = 891,726,108,988,000,000/614,737,834
  6. Step 6: Final answer
    x = 1,450,579,514.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.