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Finding the Third Proportional to 784,905.75 and 1,065,231

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Solution

The third proportional to 784,905.75 and 1,065,231 is: 1,445,673.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,905.75 : 1,065,231 = 1,065,231 : x
  2. Step 2: Convert to fraction form
    784,905.75/1,065,231 = 1,065,231/x
  3. Step 3: Cross multiply
    784,905.75x = 1,065,231 × 1,065,231
  4. Step 4: Simplify right side
    784,905.75x = 1,134,717,083,361
  5. Step 5: Solve for x
    x = 1,134,717,083,361/784,905.75
  6. Step 6: Final answer
    x = 1,445,673.04

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.