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Finding the Third Proportional to 547,293 and 1,197,670

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Solution

The third proportional to 547,293 and 1,197,670 is: 2,620,924.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,293 : 1,197,670 = 1,197,670 : x
  2. Step 2: Convert to fraction form
    547,293/1,197,670 = 1,197,670/x
  3. Step 3: Cross multiply
    547,293x = 1,197,670 × 1,197,670
  4. Step 4: Simplify right side
    547,293x = 1,434,413,428,900
  5. Step 5: Solve for x
    x = 1,434,413,428,900/547,293
  6. Step 6: Final answer
    x = 2,620,924.13

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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.