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Finding the Third Proportional to 571,786 and 1,217,524

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Solution

The third proportional to 571,786 and 1,217,524 is: 2,592,516.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,786 : 1,217,524 = 1,217,524 : x
  2. Step 2: Convert to fraction form
    571,786/1,217,524 = 1,217,524/x
  3. Step 3: Cross multiply
    571,786x = 1,217,524 × 1,217,524
  4. Step 4: Simplify right side
    571,786x = 1,482,364,690,576
  5. Step 5: Solve for x
    x = 1,482,364,690,576/571,786
  6. Step 6: Final answer
    x = 2,592,516.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.