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Finding the Third Proportional to 632,808 and 980,105

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Solution

The third proportional to 632,808 and 980,105 is: 1,518,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    632,808 : 980,105 = 980,105 : x
  2. Step 2: Convert to fraction form
    632,808/980,105 = 980,105/x
  3. Step 3: Cross multiply
    632,808x = 980,105 × 980,105
  4. Step 4: Simplify right side
    632,808x = 960,605,811,025
  5. Step 5: Solve for x
    x = 960,605,811,025/632,808
  6. Step 6: Final answer
    x = 1,518,005.16

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.