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Finding the Third Proportional to 619,399 and 917,586

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Solution

The third proportional to 619,399 and 917,586 is: 1,359,324.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,399 : 917,586 = 917,586 : x
  2. Step 2: Convert to fraction form
    619,399/917,586 = 917,586/x
  3. Step 3: Cross multiply
    619,399x = 917,586 × 917,586
  4. Step 4: Simplify right side
    619,399x = 841,964,067,396
  5. Step 5: Solve for x
    x = 841,964,067,396/619,399
  6. Step 6: Final answer
    x = 1,359,324.23

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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.