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Finding the Third Proportional to 784,432 and 1,104,629

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Solution

The third proportional to 784,432 and 1,104,629 is: 1,555,527.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,432 : 1,104,629 = 1,104,629 : x
  2. Step 2: Convert to fraction form
    784,432/1,104,629 = 1,104,629/x
  3. Step 3: Cross multiply
    784,432x = 1,104,629 × 1,104,629
  4. Step 4: Simplify right side
    784,432x = 1,220,205,227,641
  5. Step 5: Solve for x
    x = 1,220,205,227,641/784,432
  6. Step 6: Final answer
    x = 1,555,527.09

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.