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Finding the Third Proportional to 560,874 and 1,216,383

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Solution

The third proportional to 560,874 and 1,216,383 is: 2,638,003.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,874 : 1,216,383 = 1,216,383 : x
  2. Step 2: Convert to fraction form
    560,874/1,216,383 = 1,216,383/x
  3. Step 3: Cross multiply
    560,874x = 1,216,383 × 1,216,383
  4. Step 4: Simplify right side
    560,874x = 1,479,587,602,689
  5. Step 5: Solve for x
    x = 1,479,587,602,689/560,874
  6. Step 6: Final answer
    x = 2,638,003.55

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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.