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Finding the Third Proportional to 811,496.60 and 1,261,543.04

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Solution

The third proportional to 811,496.60 and 1,261,543.04 is: 1,961,179.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    811,496.60 : 1,261,543.04 = 1,261,543.04 : x
  2. Step 2: Convert to fraction form
    811,496.60/1,261,543.04 = 1,261,543.04/x
  3. Step 3: Cross multiply
    811,496.60x = 1,261,543.04 × 1,261,543.04
  4. Step 4: Simplify right side
    811,496.60x = 1,591,490,849,262.73
  5. Step 5: Solve for x
    x = 1,591,490,849,262.73/811,496.60
  6. Step 6: Final answer
    x = 1,961,179.93

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.