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Finding the Third Proportional to 639,262 and 1,378,157

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Solution

The third proportional to 639,262 and 1,378,157 is: 2,971,108.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,262 : 1,378,157 = 1,378,157 : x
  2. Step 2: Convert to fraction form
    639,262/1,378,157 = 1,378,157/x
  3. Step 3: Cross multiply
    639,262x = 1,378,157 × 1,378,157
  4. Step 4: Simplify right side
    639,262x = 1,899,316,716,649
  5. Step 5: Solve for x
    x = 1,899,316,716,649/639,262
  6. Step 6: Final answer
    x = 2,971,108.43

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.