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Finding the Third Proportional to 564,808 and 1,216,400

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Solution

The third proportional to 564,808 and 1,216,400 is: 2,619,702.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,808 : 1,216,400 = 1,216,400 : x
  2. Step 2: Convert to fraction form
    564,808/1,216,400 = 1,216,400/x
  3. Step 3: Cross multiply
    564,808x = 1,216,400 × 1,216,400
  4. Step 4: Simplify right side
    564,808x = 1,479,628,960,000
  5. Step 5: Solve for x
    x = 1,479,628,960,000/564,808
  6. Step 6: Final answer
    x = 2,619,702.55

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