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Finding the Third Proportional to 1,509,344 and 2,258,032

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Solution

The third proportional to 1,509,344 and 2,258,032 is: 3,378,095.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,509,344 : 2,258,032 = 2,258,032 : x
  2. Step 2: Convert to fraction form
    1,509,344/2,258,032 = 2,258,032/x
  3. Step 3: Cross multiply
    1,509,344x = 2,258,032 × 2,258,032
  4. Step 4: Simplify right side
    1,509,344x = 5,098,708,513,024
  5. Step 5: Solve for x
    x = 5,098,708,513,024/1,509,344
  6. Step 6: Final answer
    x = 3,378,095.72

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.