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Finding the Third Proportional to 652,650 and 919,087

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Solution

The third proportional to 652,650 and 919,087 is: 1,294,293.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    652,650 : 919,087 = 919,087 : x
  2. Step 2: Convert to fraction form
    652,650/919,087 = 919,087/x
  3. Step 3: Cross multiply
    652,650x = 919,087 × 919,087
  4. Step 4: Simplify right side
    652,650x = 844,720,913,569
  5. Step 5: Solve for x
    x = 844,720,913,569/652,650
  6. Step 6: Final answer
    x = 1,294,293.90

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.