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Finding the Third Proportional to 1,717,216 and 3,729,416

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Solution

The third proportional to 1,717,216 and 3,729,416 is: 8,099,472.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,717,216 : 3,729,416 = 3,729,416 : x
  2. Step 2: Convert to fraction form
    1,717,216/3,729,416 = 3,729,416/x
  3. Step 3: Cross multiply
    1,717,216x = 3,729,416 × 3,729,416
  4. Step 4: Simplify right side
    1,717,216x = 13,908,543,701,056
  5. Step 5: Solve for x
    x = 13,908,543,701,056/1,717,216
  6. Step 6: Final answer
    x = 8,099,472.46

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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.