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Finding the Third Proportional to 451,705 and 891,986

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Solution

The third proportional to 451,705 and 891,986 is: 1,761,412.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,705 : 891,986 = 891,986 : x
  2. Step 2: Convert to fraction form
    451,705/891,986 = 891,986/x
  3. Step 3: Cross multiply
    451,705x = 891,986 × 891,986
  4. Step 4: Simplify right side
    451,705x = 795,639,024,196
  5. Step 5: Solve for x
    x = 795,639,024,196/451,705
  6. Step 6: Final answer
    x = 1,761,412.92

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.