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Finding the Third Proportional to 524,257.31 and 1,146,641.06

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Solution

The third proportional to 524,257.31 and 1,146,641.06 is: 2,507,901.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,257.31 : 1,146,641.06 = 1,146,641.06 : x
  2. Step 2: Convert to fraction form
    524,257.31/1,146,641.06 = 1,146,641.06/x
  3. Step 3: Cross multiply
    524,257.31x = 1,146,641.06 × 1,146,641.06
  4. Step 4: Simplify right side
    524,257.31x = 1,314,785,726,211.13
  5. Step 5: Solve for x
    x = 1,314,785,726,211.13/524,257.31
  6. Step 6: Final answer
    x = 2,507,901.55

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.