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Finding the Third Proportional to 717,869 and 1,510,102

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Solution

The third proportional to 717,869 and 1,510,102 is: 3,176,635.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,869 : 1,510,102 = 1,510,102 : x
  2. Step 2: Convert to fraction form
    717,869/1,510,102 = 1,510,102/x
  3. Step 3: Cross multiply
    717,869x = 1,510,102 × 1,510,102
  4. Step 4: Simplify right side
    717,869x = 2,280,408,050,404
  5. Step 5: Solve for x
    x = 2,280,408,050,404/717,869
  6. Step 6: Final answer
    x = 3,176,635.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.