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Finding the Third Proportional to 592,422 and 917,577

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Solution

The third proportional to 592,422 and 917,577 is: 1,421,195.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    592,422 : 917,577 = 917,577 : x
  2. Step 2: Convert to fraction form
    592,422/917,577 = 917,577/x
  3. Step 3: Cross multiply
    592,422x = 917,577 × 917,577
  4. Step 4: Simplify right side
    592,422x = 841,947,550,929
  5. Step 5: Solve for x
    x = 841,947,550,929/592,422
  6. Step 6: Final answer
    x = 1,421,195.62

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.