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Finding the Third Proportional to 443,805.75 and 972,084.38

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Solution

The third proportional to 443,805.75 and 972,084.38 is: 2,129,192.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,805.75 : 972,084.38 = 972,084.38 : x
  2. Step 2: Convert to fraction form
    443,805.75/972,084.38 = 972,084.38/x
  3. Step 3: Cross multiply
    443,805.75x = 972,084.38 × 972,084.38
  4. Step 4: Simplify right side
    443,805.75x = 944,948,032,119.14
  5. Step 5: Solve for x
    x = 944,948,032,119.14/443,805.75
  6. Step 6: Final answer
    x = 2,129,192.86

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.