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Finding the Third Proportional to 725,841 and 1,092,406.50

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Solution

The third proportional to 725,841 and 1,092,406.50 is: 1,644,095.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,841 : 1,092,406.50 = 1,092,406.50 : x
  2. Step 2: Convert to fraction form
    725,841/1,092,406.50 = 1,092,406.50/x
  3. Step 3: Cross multiply
    725,841x = 1,092,406.50 × 1,092,406.50
  4. Step 4: Simplify right side
    725,841x = 1,193,351,961,242.25
  5. Step 5: Solve for x
    x = 1,193,351,961,242.25/725,841
  6. Step 6: Final answer
    x = 1,644,095.55

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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.