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Finding the Third Proportional to 409,220 and 899,650

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Solution

The third proportional to 409,220 and 899,650 is: 1,977,836.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,220 : 899,650 = 899,650 : x
  2. Step 2: Convert to fraction form
    409,220/899,650 = 899,650/x
  3. Step 3: Cross multiply
    409,220x = 899,650 × 899,650
  4. Step 4: Simplify right side
    409,220x = 809,370,122,500
  5. Step 5: Solve for x
    x = 809,370,122,500/409,220
  6. Step 6: Final answer
    x = 1,977,836.18

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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.