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Finding the Third Proportional to 742,053.66 and 1,108,695.09

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Solution

The third proportional to 742,053.66 and 1,108,695.09 is: 1,656,490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,053.66 : 1,108,695.09 = 1,108,695.09 : x
  2. Step 2: Convert to fraction form
    742,053.66/1,108,695.09 = 1,108,695.09/x
  3. Step 3: Cross multiply
    742,053.66x = 1,108,695.09 × 1,108,695.09
  4. Step 4: Simplify right side
    742,053.66x = 1,229,204,810,905.32
  5. Step 5: Solve for x
    x = 1,229,204,810,905.32/742,053.66
  6. Step 6: Final answer
    x = 1,656,490.47

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.