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Finding the Third Proportional to 571,214 and 1,240,759

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Solution

The third proportional to 571,214 and 1,240,759 is: 2,695,107.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,214 : 1,240,759 = 1,240,759 : x
  2. Step 2: Convert to fraction form
    571,214/1,240,759 = 1,240,759/x
  3. Step 3: Cross multiply
    571,214x = 1,240,759 × 1,240,759
  4. Step 4: Simplify right side
    571,214x = 1,539,482,896,081
  5. Step 5: Solve for x
    x = 1,539,482,896,081/571,214
  6. Step 6: Final answer
    x = 2,695,107.08

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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.