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Finding the Third Proportional to 963,744.75 and 2,142,909

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Solution

The third proportional to 963,744.75 and 2,142,909 is: 4,764,808.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,744.75 : 2,142,909 = 2,142,909 : x
  2. Step 2: Convert to fraction form
    963,744.75/2,142,909 = 2,142,909/x
  3. Step 3: Cross multiply
    963,744.75x = 2,142,909 × 2,142,909
  4. Step 4: Simplify right side
    963,744.75x = 4,592,058,982,281
  5. Step 5: Solve for x
    x = 4,592,058,982,281/963,744.75
  6. Step 6: Final answer
    x = 4,764,808.30

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.