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Finding the Third Proportional to 832,952.53 and 1,259,680.78

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Solution

The third proportional to 832,952.53 and 1,259,680.78 is: 1,905,025.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    832,952.53 : 1,259,680.78 = 1,259,680.78 : x
  2. Step 2: Convert to fraction form
    832,952.53/1,259,680.78 = 1,259,680.78/x
  3. Step 3: Cross multiply
    832,952.53x = 1,259,680.78 × 1,259,680.78
  4. Step 4: Simplify right side
    832,952.53x = 1,586,795,670,650.61
  5. Step 5: Solve for x
    x = 1,586,795,670,650.61/832,952.53
  6. Step 6: Final answer
    x = 1,905,025.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.