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Finding the Third Proportional to 665,102 and 1,454,620

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Solution

The third proportional to 665,102 and 1,454,620 is: 3,181,345.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,102 : 1,454,620 = 1,454,620 : x
  2. Step 2: Convert to fraction form
    665,102/1,454,620 = 1,454,620/x
  3. Step 3: Cross multiply
    665,102x = 1,454,620 × 1,454,620
  4. Step 4: Simplify right side
    665,102x = 2,115,919,344,400
  5. Step 5: Solve for x
    x = 2,115,919,344,400/665,102
  6. Step 6: Final answer
    x = 3,181,345.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.