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Finding the Third Proportional to 854,390 and 1,324,659

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Solution

The third proportional to 854,390 and 1,324,659 is: 2,053,771.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,390 : 1,324,659 = 1,324,659 : x
  2. Step 2: Convert to fraction form
    854,390/1,324,659 = 1,324,659/x
  3. Step 3: Cross multiply
    854,390x = 1,324,659 × 1,324,659
  4. Step 4: Simplify right side
    854,390x = 1,754,721,466,281
  5. Step 5: Solve for x
    x = 1,754,721,466,281/854,390
  6. Step 6: Final answer
    x = 2,053,771.07

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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.