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Finding the Third Proportional to 746,404.88 and 1,125,792.42

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Solution

The third proportional to 746,404.88 and 1,125,792.42 is: 1,698,017.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,404.88 : 1,125,792.42 = 1,125,792.42 : x
  2. Step 2: Convert to fraction form
    746,404.88/1,125,792.42 = 1,125,792.42/x
  3. Step 3: Cross multiply
    746,404.88x = 1,125,792.42 × 1,125,792.42
  4. Step 4: Simplify right side
    746,404.88x = 1,267,408,577,151.18
  5. Step 5: Solve for x
    x = 1,267,408,577,151.18/746,404.88
  6. Step 6: Final answer
    x = 1,698,017.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.