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Finding the Third Proportional to 605,624 and 1,314,277

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Solution

The third proportional to 605,624 and 1,314,277 is: 2,852,139.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,624 : 1,314,277 = 1,314,277 : x
  2. Step 2: Convert to fraction form
    605,624/1,314,277 = 1,314,277/x
  3. Step 3: Cross multiply
    605,624x = 1,314,277 × 1,314,277
  4. Step 4: Simplify right side
    605,624x = 1,727,324,032,729
  5. Step 5: Solve for x
    x = 1,727,324,032,729/605,624
  6. Step 6: Final answer
    x = 2,852,139.34

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.