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Finding the Third Proportional to 553,746 and 815,061

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Solution

The third proportional to 553,746 and 815,061 is: 1,199,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,746 : 815,061 = 815,061 : x
  2. Step 2: Convert to fraction form
    553,746/815,061 = 815,061/x
  3. Step 3: Cross multiply
    553,746x = 815,061 × 815,061
  4. Step 4: Simplify right side
    553,746x = 664,324,433,721
  5. Step 5: Solve for x
    x = 664,324,433,721/553,746
  6. Step 6: Final answer
    x = 1,199,691.62

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.