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Finding the Third Proportional to 902,425.50 and 2,006,586

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Solution

The third proportional to 902,425.50 and 2,006,586 is: 4,461,739.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,425.50 : 2,006,586 = 2,006,586 : x
  2. Step 2: Convert to fraction form
    902,425.50/2,006,586 = 2,006,586/x
  3. Step 3: Cross multiply
    902,425.50x = 2,006,586 × 2,006,586
  4. Step 4: Simplify right side
    902,425.50x = 4,026,387,375,396
  5. Step 5: Solve for x
    x = 4,026,387,375,396/902,425.50
  6. Step 6: Final answer
    x = 4,461,739.36

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.