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Finding the Third Proportional to 479,972 and 1,031,172.25

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Solution

The third proportional to 479,972 and 1,031,172.25 is: 2,215,371.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    479,972 : 1,031,172.25 = 1,031,172.25 : x
  2. Step 2: Convert to fraction form
    479,972/1,031,172.25 = 1,031,172.25/x
  3. Step 3: Cross multiply
    479,972x = 1,031,172.25 × 1,031,172.25
  4. Step 4: Simplify right side
    479,972x = 1,063,316,209,170.06
  5. Step 5: Solve for x
    x = 1,063,316,209,170.06/479,972
  6. Step 6: Final answer
    x = 2,215,371.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.