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Finding the Third Proportional to 613,283 and 1,340,566

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Solution

The third proportional to 613,283 and 1,340,566 is: 2,930,322.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    613,283 : 1,340,566 = 1,340,566 : x
  2. Step 2: Convert to fraction form
    613,283/1,340,566 = 1,340,566/x
  3. Step 3: Cross multiply
    613,283x = 1,340,566 × 1,340,566
  4. Step 4: Simplify right side
    613,283x = 1,797,117,200,356
  5. Step 5: Solve for x
    x = 1,797,117,200,356/613,283
  6. Step 6: Final answer
    x = 2,930,322.87

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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.