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Finding the Third Proportional to 410,002 and 900,720

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Solution

The third proportional to 410,002 and 900,720 is: 1,978,762.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,002 : 900,720 = 900,720 : x
  2. Step 2: Convert to fraction form
    410,002/900,720 = 900,720/x
  3. Step 3: Cross multiply
    410,002x = 900,720 × 900,720
  4. Step 4: Simplify right side
    410,002x = 811,296,518,400
  5. Step 5: Solve for x
    x = 811,296,518,400/410,002
  6. Step 6: Final answer
    x = 1,978,762.34

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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.