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Finding the Third Proportional to 838,607.63 and 1,841,959.13

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Solution

The third proportional to 838,607.63 and 1,841,959.13 is: 4,045,769.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,607.63 : 1,841,959.13 = 1,841,959.13 : x
  2. Step 2: Convert to fraction form
    838,607.63/1,841,959.13 = 1,841,959.13/x
  3. Step 3: Cross multiply
    838,607.63x = 1,841,959.13 × 1,841,959.13
  4. Step 4: Simplify right side
    838,607.63x = 3,392,813,418,170.77
  5. Step 5: Solve for x
    x = 3,392,813,418,170.77/838,607.63
  6. Step 6: Final answer
    x = 4,045,769.82

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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.