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Finding the Third Proportional to 634,357 and 1,367,741

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Solution

The third proportional to 634,357 and 1,367,741 is: 2,948,994.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,357 : 1,367,741 = 1,367,741 : x
  2. Step 2: Convert to fraction form
    634,357/1,367,741 = 1,367,741/x
  3. Step 3: Cross multiply
    634,357x = 1,367,741 × 1,367,741
  4. Step 4: Simplify right side
    634,357x = 1,870,715,443,081
  5. Step 5: Solve for x
    x = 1,870,715,443,081/634,357
  6. Step 6: Final answer
    x = 2,948,994.72

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