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Finding the Third Proportional to 423,646 and 932,584

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Solution

The third proportional to 423,646 and 932,584 is: 2,052,923.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,646 : 932,584 = 932,584 : x
  2. Step 2: Convert to fraction form
    423,646/932,584 = 932,584/x
  3. Step 3: Cross multiply
    423,646x = 932,584 × 932,584
  4. Step 4: Simplify right side
    423,646x = 869,712,917,056
  5. Step 5: Solve for x
    x = 869,712,917,056/423,646
  6. Step 6: Final answer
    x = 2,052,923.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.