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Finding the Third Proportional to 412,948.13 and 909,711

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Solution

The third proportional to 412,948.13 and 909,711 is: 2,004,063.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,948.13 : 909,711 = 909,711 : x
  2. Step 2: Convert to fraction form
    412,948.13/909,711 = 909,711/x
  3. Step 3: Cross multiply
    412,948.13x = 909,711 × 909,711
  4. Step 4: Simplify right side
    412,948.13x = 827,574,103,521
  5. Step 5: Solve for x
    x = 827,574,103,521/412,948.13
  6. Step 6: Final answer
    x = 2,004,063.11

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.