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Finding the Third Proportional to 619,357 and 917,521

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Solution

The third proportional to 619,357 and 917,521 is: 1,359,223.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,357 : 917,521 = 917,521 : x
  2. Step 2: Convert to fraction form
    619,357/917,521 = 917,521/x
  3. Step 3: Cross multiply
    619,357x = 917,521 × 917,521
  4. Step 4: Simplify right side
    619,357x = 841,844,785,441
  5. Step 5: Solve for x
    x = 841,844,785,441/619,357
  6. Step 6: Final answer
    x = 1,359,223.82

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.