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Finding the Third Proportional to 690,272 and 1,414,000

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Solution

The third proportional to 690,272 and 1,414,000 is: 2,896,533.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,272 : 1,414,000 = 1,414,000 : x
  2. Step 2: Convert to fraction form
    690,272/1,414,000 = 1,414,000/x
  3. Step 3: Cross multiply
    690,272x = 1,414,000 × 1,414,000
  4. Step 4: Simplify right side
    690,272x = 1,999,396,000,000
  5. Step 5: Solve for x
    x = 1,999,396,000,000/690,272
  6. Step 6: Final answer
    x = 2,896,533.54

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.