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Finding the Third Proportional to 787,035 and 1,686,102

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Solution

The third proportional to 787,035 and 1,686,102 is: 3,612,215.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    787,035 : 1,686,102 = 1,686,102 : x
  2. Step 2: Convert to fraction form
    787,035/1,686,102 = 1,686,102/x
  3. Step 3: Cross multiply
    787,035x = 1,686,102 × 1,686,102
  4. Step 4: Simplify right side
    787,035x = 2,842,939,954,404
  5. Step 5: Solve for x
    x = 2,842,939,954,404/787,035
  6. Step 6: Final answer
    x = 3,612,215.41

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.