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Finding the Third Proportional to 659,924 and 1,029,324

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Solution

The third proportional to 659,924 and 1,029,324 is: 1,605,499.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    659,924 : 1,029,324 = 1,029,324 : x
  2. Step 2: Convert to fraction form
    659,924/1,029,324 = 1,029,324/x
  3. Step 3: Cross multiply
    659,924x = 1,029,324 × 1,029,324
  4. Step 4: Simplify right side
    659,924x = 1,059,507,896,976
  5. Step 5: Solve for x
    x = 1,059,507,896,976/659,924
  6. Step 6: Final answer
    x = 1,605,499.87

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.