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Finding the Third Proportional to 932,801.06 and 2,023,066.13

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Solution

The third proportional to 932,801.06 and 2,023,066.13 is: 4,387,641.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    932,801.06 : 2,023,066.13 = 2,023,066.13 : x
  2. Step 2: Convert to fraction form
    932,801.06/2,023,066.13 = 2,023,066.13/x
  3. Step 3: Cross multiply
    932,801.06x = 2,023,066.13 × 2,023,066.13
  4. Step 4: Simplify right side
    932,801.06x = 4,092,796,546,122.52
  5. Step 5: Solve for x
    x = 4,092,796,546,122.52/932,801.06
  6. Step 6: Final answer
    x = 4,387,641.39

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.