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Finding the Third Proportional to 402,990 and 847,520

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Solution

The third proportional to 402,990 and 847,520 is: 1,782,401.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,990 : 847,520 = 847,520 : x
  2. Step 2: Convert to fraction form
    402,990/847,520 = 847,520/x
  3. Step 3: Cross multiply
    402,990x = 847,520 × 847,520
  4. Step 4: Simplify right side
    402,990x = 718,290,150,400
  5. Step 5: Solve for x
    x = 718,290,150,400/402,990
  6. Step 6: Final answer
    x = 1,782,401.92

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.