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Finding the Third Proportional to 938,160 and 1,454,552

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Solution

The third proportional to 938,160 and 1,454,552 is: 2,255,181.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,160 : 1,454,552 = 1,454,552 : x
  2. Step 2: Convert to fraction form
    938,160/1,454,552 = 1,454,552/x
  3. Step 3: Cross multiply
    938,160x = 1,454,552 × 1,454,552
  4. Step 4: Simplify right side
    938,160x = 2,115,721,520,704
  5. Step 5: Solve for x
    x = 2,115,721,520,704/938,160
  6. Step 6: Final answer
    x = 2,255,181.97

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.