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Finding the Third Proportional to 820,504.50 and 1,241,691.75

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Solution

The third proportional to 820,504.50 and 1,241,691.75 is: 1,879,085.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,504.50 : 1,241,691.75 = 1,241,691.75 : x
  2. Step 2: Convert to fraction form
    820,504.50/1,241,691.75 = 1,241,691.75/x
  3. Step 3: Cross multiply
    820,504.50x = 1,241,691.75 × 1,241,691.75
  4. Step 4: Simplify right side
    820,504.50x = 1,541,798,402,018.06
  5. Step 5: Solve for x
    x = 1,541,798,402,018.06/820,504.50
  6. Step 6: Final answer
    x = 1,879,085.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.