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Finding the Third Proportional to 787,432 and 1,627,356

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Solution

The third proportional to 787,432 and 1,627,356 is: 3,363,195.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,432 : 1,627,356 = 1,627,356 : x
  2. Step 2: Convert to fraction form
    787,432/1,627,356 = 1,627,356/x
  3. Step 3: Cross multiply
    787,432x = 1,627,356 × 1,627,356
  4. Step 4: Simplify right side
    787,432x = 2,648,287,550,736
  5. Step 5: Solve for x
    x = 2,648,287,550,736/787,432
  6. Step 6: Final answer
    x = 3,363,195.24

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.