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Finding the Third Proportional to 1,678,257 and 2,581,095.38

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Solution

The third proportional to 1,678,257 and 2,581,095.38 is: 3,969,626.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,678,257 : 2,581,095.38 = 2,581,095.38 : x
  2. Step 2: Convert to fraction form
    1,678,257/2,581,095.38 = 2,581,095.38/x
  3. Step 3: Cross multiply
    1,678,257x = 2,581,095.38 × 2,581,095.38
  4. Step 4: Simplify right side
    1,678,257x = 6,662,053,334,846.39
  5. Step 5: Solve for x
    x = 6,662,053,334,846.39/1,678,257
  6. Step 6: Final answer
    x = 3,969,626.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.