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Finding the Third Proportional to 723,576.38 and 1,063,686.94

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Solution

The third proportional to 723,576.38 and 1,063,686.94 is: 1,563,663.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,576.38 : 1,063,686.94 = 1,063,686.94 : x
  2. Step 2: Convert to fraction form
    723,576.38/1,063,686.94 = 1,063,686.94/x
  3. Step 3: Cross multiply
    723,576.38x = 1,063,686.94 × 1,063,686.94
  4. Step 4: Simplify right side
    723,576.38x = 1,131,429,901,008.13
  5. Step 5: Solve for x
    x = 1,131,429,901,008.13/723,576.38
  6. Step 6: Final answer
    x = 1,563,663.41

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.