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Finding the Third Proportional to 419,374,167 and 625,424,486

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Solution

The third proportional to 419,374,167 and 625,424,486 is: 932,713,119.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,374,167 : 625,424,486 = 625,424,486 : x
  2. Step 2: Convert to fraction form
    419,374,167/625,424,486 = 625,424,486/x
  3. Step 3: Cross multiply
    419,374,167x = 625,424,486 × 625,424,486
  4. Step 4: Simplify right side
    419,374,167x = 391,155,787,688,364,224
  5. Step 5: Solve for x
    x = 391,155,787,688,364,224/419,374,167
  6. Step 6: Final answer
    x = 932,713,119.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.