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Finding the Third Proportional to 723,782.25 and 1,064,610

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Solution

The third proportional to 723,782.25 and 1,064,610 is: 1,565,932.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,782.25 : 1,064,610 = 1,064,610 : x
  2. Step 2: Convert to fraction form
    723,782.25/1,064,610 = 1,064,610/x
  3. Step 3: Cross multiply
    723,782.25x = 1,064,610 × 1,064,610
  4. Step 4: Simplify right side
    723,782.25x = 1,133,394,452,100
  5. Step 5: Solve for x
    x = 1,133,394,452,100/723,782.25
  6. Step 6: Final answer
    x = 1,565,932.92

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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.