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Finding the Third Proportional to 419,447,986 and 651,255,822

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Solution

The third proportional to 419,447,986 and 651,255,822 is: 1,011,172,206.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,447,986 : 651,255,822 = 651,255,822 : x
  2. Step 2: Convert to fraction form
    419,447,986/651,255,822 = 651,255,822/x
  3. Step 3: Cross multiply
    419,447,986x = 651,255,822 × 651,255,822
  4. Step 4: Simplify right side
    419,447,986x = 424,134,145,688,895,680
  5. Step 5: Solve for x
    x = 424,134,145,688,895,680/419,447,986
  6. Step 6: Final answer
    x = 1,011,172,206.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.