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Finding the Third Proportional to 564,810 and 1,216,404

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Solution

The third proportional to 564,810 and 1,216,404 is: 2,619,710.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,810 : 1,216,404 = 1,216,404 : x
  2. Step 2: Convert to fraction form
    564,810/1,216,404 = 1,216,404/x
  3. Step 3: Cross multiply
    564,810x = 1,216,404 × 1,216,404
  4. Step 4: Simplify right side
    564,810x = 1,479,638,691,216
  5. Step 5: Solve for x
    x = 1,479,638,691,216/564,810
  6. Step 6: Final answer
    x = 2,619,710.51

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.