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Finding the Third Proportional to 830,517 and 1,097,331

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Solution

The third proportional to 830,517 and 1,097,331 is: 1,449,862.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,517 : 1,097,331 = 1,097,331 : x
  2. Step 2: Convert to fraction form
    830,517/1,097,331 = 1,097,331/x
  3. Step 3: Cross multiply
    830,517x = 1,097,331 × 1,097,331
  4. Step 4: Simplify right side
    830,517x = 1,204,135,323,561
  5. Step 5: Solve for x
    x = 1,204,135,323,561/830,517
  6. Step 6: Final answer
    x = 1,449,862.34

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.