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Finding the Third Proportional to 927,180 and 1,403,766

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Solution

The third proportional to 927,180 and 1,403,766 is: 2,125,325.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    927,180 : 1,403,766 = 1,403,766 : x
  2. Step 2: Convert to fraction form
    927,180/1,403,766 = 1,403,766/x
  3. Step 3: Cross multiply
    927,180x = 1,403,766 × 1,403,766
  4. Step 4: Simplify right side
    927,180x = 1,970,558,982,756
  5. Step 5: Solve for x
    x = 1,970,558,982,756/927,180
  6. Step 6: Final answer
    x = 2,125,325.16

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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.