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Finding the Third Proportional to 687,452.70 and 1,010,109.23

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Solution

The third proportional to 687,452.70 and 1,010,109.23 is: 1,484,204.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,452.70 : 1,010,109.23 = 1,010,109.23 : x
  2. Step 2: Convert to fraction form
    687,452.70/1,010,109.23 = 1,010,109.23/x
  3. Step 3: Cross multiply
    687,452.70x = 1,010,109.23 × 1,010,109.23
  4. Step 4: Simplify right side
    687,452.70x = 1,020,320,665,369.65
  5. Step 5: Solve for x
    x = 1,020,320,665,369.65/687,452.70
  6. Step 6: Final answer
    x = 1,484,204.91

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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.