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Finding the Third Proportional to 409,941 and 900,585

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Solution

The third proportional to 409,941 and 900,585 is: 1,978,463.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,941 : 900,585 = 900,585 : x
  2. Step 2: Convert to fraction form
    409,941/900,585 = 900,585/x
  3. Step 3: Cross multiply
    409,941x = 900,585 × 900,585
  4. Step 4: Simplify right side
    409,941x = 811,053,342,225
  5. Step 5: Solve for x
    x = 811,053,342,225/409,941
  6. Step 6: Final answer
    x = 1,978,463.59

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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.