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Finding the Third Proportional to 412,806 and 909,423

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Solution

The third proportional to 412,806 and 909,423 is: 2,003,483.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,806 : 909,423 = 909,423 : x
  2. Step 2: Convert to fraction form
    412,806/909,423 = 909,423/x
  3. Step 3: Cross multiply
    412,806x = 909,423 × 909,423
  4. Step 4: Simplify right side
    412,806x = 827,050,192,929
  5. Step 5: Solve for x
    x = 827,050,192,929/412,806
  6. Step 6: Final answer
    x = 2,003,483.94

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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.