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Finding the Third Proportional to 881,808.75 and 1,288,685.25

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Solution

The third proportional to 881,808.75 and 1,288,685.25 is: 1,883,299.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    881,808.75 : 1,288,685.25 = 1,288,685.25 : x
  2. Step 2: Convert to fraction form
    881,808.75/1,288,685.25 = 1,288,685.25/x
  3. Step 3: Cross multiply
    881,808.75x = 1,288,685.25 × 1,288,685.25
  4. Step 4: Simplify right side
    881,808.75x = 1,660,709,673,567.56
  5. Step 5: Solve for x
    x = 1,660,709,673,567.56/881,808.75
  6. Step 6: Final answer
    x = 1,883,299.15

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.