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Finding the Third Proportional to 963,455.25 and 2,117,640.75

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Solution

The third proportional to 963,455.25 and 2,117,640.75 is: 4,654,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,455.25 : 2,117,640.75 = 2,117,640.75 : x
  2. Step 2: Convert to fraction form
    963,455.25/2,117,640.75 = 2,117,640.75/x
  3. Step 3: Cross multiply
    963,455.25x = 2,117,640.75 × 2,117,640.75
  4. Step 4: Simplify right side
    963,455.25x = 4,484,402,346,060.56
  5. Step 5: Solve for x
    x = 4,484,402,346,060.56/963,455.25
  6. Step 6: Final answer
    x = 4,654,499.88

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.