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Finding the Third Proportional to 838,613.25 and 1,841,970.38

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Solution

The third proportional to 838,613.25 and 1,841,970.38 is: 4,045,792.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,613.25 : 1,841,970.38 = 1,841,970.38 : x
  2. Step 2: Convert to fraction form
    838,613.25/1,841,970.38 = 1,841,970.38/x
  3. Step 3: Cross multiply
    838,613.25x = 1,841,970.38 × 1,841,970.38
  4. Step 4: Simplify right side
    838,613.25x = 3,392,854,862,377.64
  5. Step 5: Solve for x
    x = 3,392,854,862,377.64/838,613.25
  6. Step 6: Final answer
    x = 4,045,792.10

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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.