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Finding the Third Proportional to 541,952 and 1,174,264

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Solution

The third proportional to 541,952 and 1,174,264 is: 2,544,313.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,952 : 1,174,264 = 1,174,264 : x
  2. Step 2: Convert to fraction form
    541,952/1,174,264 = 1,174,264/x
  3. Step 3: Cross multiply
    541,952x = 1,174,264 × 1,174,264
  4. Step 4: Simplify right side
    541,952x = 1,378,895,941,696
  5. Step 5: Solve for x
    x = 1,378,895,941,696/541,952
  6. Step 6: Final answer
    x = 2,544,313.78

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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.