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Finding the Third Proportional to 537,901 and 1,170,422

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Solution

The third proportional to 537,901 and 1,170,422 is: 2,546,728.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    537,901 : 1,170,422 = 1,170,422 : x
  2. Step 2: Convert to fraction form
    537,901/1,170,422 = 1,170,422/x
  3. Step 3: Cross multiply
    537,901x = 1,170,422 × 1,170,422
  4. Step 4: Simplify right side
    537,901x = 1,369,887,658,084
  5. Step 5: Solve for x
    x = 1,369,887,658,084/537,901
  6. Step 6: Final answer
    x = 2,546,728.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.