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Finding the Third Proportional to 834,477.19 and 1,798,534.13

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Solution

The third proportional to 834,477.19 and 1,798,534.13 is: 3,876,349.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,477.19 : 1,798,534.13 = 1,798,534.13 : x
  2. Step 2: Convert to fraction form
    834,477.19/1,798,534.13 = 1,798,534.13/x
  3. Step 3: Cross multiply
    834,477.19x = 1,798,534.13 × 1,798,534.13
  4. Step 4: Simplify right side
    834,477.19x = 3,234,724,998,789.52
  5. Step 5: Solve for x
    x = 3,234,724,998,789.52/834,477.19
  6. Step 6: Final answer
    x = 3,876,349.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.