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Finding the Third Proportional to 467,366 and 1,013,464

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Solution

The third proportional to 467,366 and 1,013,464 is: 2,197,655.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,366 : 1,013,464 = 1,013,464 : x
  2. Step 2: Convert to fraction form
    467,366/1,013,464 = 1,013,464/x
  3. Step 3: Cross multiply
    467,366x = 1,013,464 × 1,013,464
  4. Step 4: Simplify right side
    467,366x = 1,027,109,279,296
  5. Step 5: Solve for x
    x = 1,027,109,279,296/467,366
  6. Step 6: Final answer
    x = 2,197,655.11

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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.