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Finding the Third Proportional to 718,125.75 and 1,092,109.50

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Solution

The third proportional to 718,125.75 and 1,092,109.50 is: 1,660,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    718,125.75 : 1,092,109.50 = 1,092,109.50 : x
  2. Step 2: Convert to fraction form
    718,125.75/1,092,109.50 = 1,092,109.50/x
  3. Step 3: Cross multiply
    718,125.75x = 1,092,109.50 × 1,092,109.50
  4. Step 4: Simplify right side
    718,125.75x = 1,192,703,159,990.25
  5. Step 5: Solve for x
    x = 1,192,703,159,990.25/718,125.75
  6. Step 6: Final answer
    x = 1,660,855.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.