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Finding the Third Proportional to 614,264 and 1,342,000

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Solution

The third proportional to 614,264 and 1,342,000 is: 2,931,905.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,264 : 1,342,000 = 1,342,000 : x
  2. Step 2: Convert to fraction form
    614,264/1,342,000 = 1,342,000/x
  3. Step 3: Cross multiply
    614,264x = 1,342,000 × 1,342,000
  4. Step 4: Simplify right side
    614,264x = 1,800,964,000,000
  5. Step 5: Solve for x
    x = 1,800,964,000,000/614,264
  6. Step 6: Final answer
    x = 2,931,905.50

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.