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Finding the Third Proportional to 443,331 and 972,870

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Solution

The third proportional to 443,331 and 972,870 is: 2,134,919.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    443,331 : 972,870 = 972,870 : x
  2. Step 2: Convert to fraction form
    443,331/972,870 = 972,870/x
  3. Step 3: Cross multiply
    443,331x = 972,870 × 972,870
  4. Step 4: Simplify right side
    443,331x = 946,476,036,900
  5. Step 5: Solve for x
    x = 946,476,036,900/443,331
  6. Step 6: Final answer
    x = 2,134,919.59

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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.