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Finding the Third Proportional to 964,972.50 and 1,419,387

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Solution

The third proportional to 964,972.50 and 1,419,387 is: 2,087,789.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,972.50 : 1,419,387 = 1,419,387 : x
  2. Step 2: Convert to fraction form
    964,972.50/1,419,387 = 1,419,387/x
  3. Step 3: Cross multiply
    964,972.50x = 1,419,387 × 1,419,387
  4. Step 4: Simplify right side
    964,972.50x = 2,014,659,455,769
  5. Step 5: Solve for x
    x = 2,014,659,455,769/964,972.50
  6. Step 6: Final answer
    x = 2,087,789.50

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.