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Finding the Third Proportional to 963,741.75 and 2,142,902.25

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Solution

The third proportional to 963,741.75 and 2,142,902.25 is: 4,764,793.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,741.75 : 2,142,902.25 = 2,142,902.25 : x
  2. Step 2: Convert to fraction form
    963,741.75/2,142,902.25 = 2,142,902.25/x
  3. Step 3: Cross multiply
    963,741.75x = 2,142,902.25 × 2,142,902.25
  4. Step 4: Simplify right side
    963,741.75x = 4,592,030,053,055.06
  5. Step 5: Solve for x
    x = 4,592,030,053,055.06/963,741.75
  6. Step 6: Final answer
    x = 4,764,793.11

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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.