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Finding the Third Proportional to 412,615,975 and 617,288,017

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Solution

The third proportional to 412,615,975 and 617,288,017 is: 923,484,593.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,615,975 : 617,288,017 = 617,288,017 : x
  2. Step 2: Convert to fraction form
    412,615,975/617,288,017 = 617,288,017/x
  3. Step 3: Cross multiply
    412,615,975x = 617,288,017 × 617,288,017
  4. Step 4: Simplify right side
    412,615,975x = 381,044,495,931,792,320
  5. Step 5: Solve for x
    x = 381,044,495,931,792,320/412,615,975
  6. Step 6: Final answer
    x = 923,484,593.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.