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Finding the Third Proportional to 1,137,897 and 2,431,314

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Solution

The third proportional to 1,137,897 and 2,431,314 is: 5,194,923.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,137,897 : 2,431,314 = 2,431,314 : x
  2. Step 2: Convert to fraction form
    1,137,897/2,431,314 = 2,431,314/x
  3. Step 3: Cross multiply
    1,137,897x = 2,431,314 × 2,431,314
  4. Step 4: Simplify right side
    1,137,897x = 5,911,287,766,596
  5. Step 5: Solve for x
    x = 5,911,287,766,596/1,137,897
  6. Step 6: Final answer
    x = 5,194,923.41

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.