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Finding the Third Proportional to 462,822 and 699,171

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Solution

The third proportional to 462,822 and 699,171 is: 1,056,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,822 : 699,171 = 699,171 : x
  2. Step 2: Convert to fraction form
    462,822/699,171 = 699,171/x
  3. Step 3: Cross multiply
    462,822x = 699,171 × 699,171
  4. Step 4: Simplify right side
    462,822x = 488,840,087,241
  5. Step 5: Solve for x
    x = 488,840,087,241/462,822
  6. Step 6: Final answer
    x = 1,056,216.19

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.