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Finding the Third Proportional to 752,047 and 1,234,545

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Solution

The third proportional to 752,047 and 1,234,545 is: 2,026,603.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,047 : 1,234,545 = 1,234,545 : x
  2. Step 2: Convert to fraction form
    752,047/1,234,545 = 1,234,545/x
  3. Step 3: Cross multiply
    752,047x = 1,234,545 × 1,234,545
  4. Step 4: Simplify right side
    752,047x = 1,524,101,357,025
  5. Step 5: Solve for x
    x = 1,524,101,357,025/752,047
  6. Step 6: Final answer
    x = 2,026,603.87

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These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.