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Finding the Third Proportional to 678,944 and 1,413,677

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Solution

The third proportional to 678,944 and 1,413,677 is: 2,943,516.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,944 : 1,413,677 = 1,413,677 : x
  2. Step 2: Convert to fraction form
    678,944/1,413,677 = 1,413,677/x
  3. Step 3: Cross multiply
    678,944x = 1,413,677 × 1,413,677
  4. Step 4: Simplify right side
    678,944x = 1,998,482,660,329
  5. Step 5: Solve for x
    x = 1,998,482,660,329/678,944
  6. Step 6: Final answer
    x = 2,943,516.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.