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Finding the Third Proportional to 820,442.25 and 1,241,983.13

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Solution

The third proportional to 820,442.25 and 1,241,983.13 is: 1,880,110.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    820,442.25 : 1,241,983.13 = 1,241,983.13 : x
  2. Step 2: Convert to fraction form
    820,442.25/1,241,983.13 = 1,241,983.13/x
  3. Step 3: Cross multiply
    820,442.25x = 1,241,983.13 × 1,241,983.13
  4. Step 4: Simplify right side
    820,442.25x = 1,542,522,082,784.77
  5. Step 5: Solve for x
    x = 1,542,522,082,784.77/820,442.25
  6. Step 6: Final answer
    x = 1,880,110.49

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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.