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Finding the Third Proportional to 564,700 and 1,241,360

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Solution

The third proportional to 564,700 and 1,241,360 is: 2,728,837.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    564,700 : 1,241,360 = 1,241,360 : x
  2. Step 2: Convert to fraction form
    564,700/1,241,360 = 1,241,360/x
  3. Step 3: Cross multiply
    564,700x = 1,241,360 × 1,241,360
  4. Step 4: Simplify right side
    564,700x = 1,540,974,649,600
  5. Step 5: Solve for x
    x = 1,540,974,649,600/564,700
  6. Step 6: Final answer
    x = 2,728,837.70

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.