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Finding the Third Proportional to 1,014,877.50 and 2,182,845

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Solution

The third proportional to 1,014,877.50 and 2,182,845 is: 4,694,962.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,014,877.50 : 2,182,845 = 2,182,845 : x
  2. Step 2: Convert to fraction form
    1,014,877.50/2,182,845 = 2,182,845/x
  3. Step 3: Cross multiply
    1,014,877.50x = 2,182,845 × 2,182,845
  4. Step 4: Simplify right side
    1,014,877.50x = 4,764,812,294,025
  5. Step 5: Solve for x
    x = 4,764,812,294,025/1,014,877.50
  6. Step 6: Final answer
    x = 4,694,962.98

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Why These Related Problems?

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