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Finding the Third Proportional to 634,358 and 1,367,743

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Solution

The third proportional to 634,358 and 1,367,743 is: 2,948,998.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,358 : 1,367,743 = 1,367,743 : x
  2. Step 2: Convert to fraction form
    634,358/1,367,743 = 1,367,743/x
  3. Step 3: Cross multiply
    634,358x = 1,367,743 × 1,367,743
  4. Step 4: Simplify right side
    634,358x = 1,870,720,914,049
  5. Step 5: Solve for x
    x = 1,870,720,914,049/634,358
  6. Step 6: Final answer
    x = 2,948,998.69

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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.