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Finding the Third Proportional to 425,982 and 932,154

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Solution

The third proportional to 425,982 and 932,154 is: 2,039,783.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,982 : 932,154 = 932,154 : x
  2. Step 2: Convert to fraction form
    425,982/932,154 = 932,154/x
  3. Step 3: Cross multiply
    425,982x = 932,154 × 932,154
  4. Step 4: Simplify right side
    425,982x = 868,911,079,716
  5. Step 5: Solve for x
    x = 868,911,079,716/425,982
  6. Step 6: Final answer
    x = 2,039,783.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.