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Finding the Third Proportional to 431,883 and 891,432

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Solution

The third proportional to 431,883 and 891,432 is: 1,839,968.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,883 : 891,432 = 891,432 : x
  2. Step 2: Convert to fraction form
    431,883/891,432 = 891,432/x
  3. Step 3: Cross multiply
    431,883x = 891,432 × 891,432
  4. Step 4: Simplify right side
    431,883x = 794,651,010,624
  5. Step 5: Solve for x
    x = 794,651,010,624/431,883
  6. Step 6: Final answer
    x = 1,839,968.26

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.