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Finding the Third Proportional to 787,182 and 1,704,828

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Solution

The third proportional to 787,182 and 1,704,828 is: 3,692,206.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,182 : 1,704,828 = 1,704,828 : x
  2. Step 2: Convert to fraction form
    787,182/1,704,828 = 1,704,828/x
  3. Step 3: Cross multiply
    787,182x = 1,704,828 × 1,704,828
  4. Step 4: Simplify right side
    787,182x = 2,906,438,509,584
  5. Step 5: Solve for x
    x = 2,906,438,509,584/787,182
  6. Step 6: Final answer
    x = 3,692,206.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.