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Finding the Third Proportional to 1,233,729.56 and 1,840,325.06

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Solution

The third proportional to 1,233,729.56 and 1,840,325.06 is: 2,745,169.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,729.56 : 1,840,325.06 = 1,840,325.06 : x
  2. Step 2: Convert to fraction form
    1,233,729.56/1,840,325.06 = 1,840,325.06/x
  3. Step 3: Cross multiply
    1,233,729.56x = 1,840,325.06 × 1,840,325.06
  4. Step 4: Simplify right side
    1,233,729.56x = 3,386,796,335,665.63
  5. Step 5: Solve for x
    x = 3,386,796,335,665.63/1,233,729.56
  6. Step 6: Final answer
    x = 2,745,169.15

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Why These Related Problems?

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