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Finding the Third Proportional to 589,320.56 and 1,272,545.44

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Solution

The third proportional to 589,320.56 and 1,272,545.44 is: 2,747,862.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,320.56 : 1,272,545.44 = 1,272,545.44 : x
  2. Step 2: Convert to fraction form
    589,320.56/1,272,545.44 = 1,272,545.44/x
  3. Step 3: Cross multiply
    589,320.56x = 1,272,545.44 × 1,272,545.44
  4. Step 4: Simplify right side
    589,320.56x = 1,619,371,890,502.07
  5. Step 5: Solve for x
    x = 1,619,371,890,502.07/589,320.56
  6. Step 6: Final answer
    x = 2,747,862.53

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.