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Finding the Third Proportional to 913,720 and 1,339,412

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Solution

The third proportional to 913,720 and 1,339,412 is: 1,963,429.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    913,720 : 1,339,412 = 1,339,412 : x
  2. Step 2: Convert to fraction form
    913,720/1,339,412 = 1,339,412/x
  3. Step 3: Cross multiply
    913,720x = 1,339,412 × 1,339,412
  4. Step 4: Simplify right side
    913,720x = 1,794,024,505,744
  5. Step 5: Solve for x
    x = 1,794,024,505,744/913,720
  6. Step 6: Final answer
    x = 1,963,429.17

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.