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Finding the Third Proportional to 641,040 and 1,371,018

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Solution

The third proportional to 641,040 and 1,371,018 is: 2,932,251.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,040 : 1,371,018 = 1,371,018 : x
  2. Step 2: Convert to fraction form
    641,040/1,371,018 = 1,371,018/x
  3. Step 3: Cross multiply
    641,040x = 1,371,018 × 1,371,018
  4. Step 4: Simplify right side
    641,040x = 1,879,690,356,324
  5. Step 5: Solve for x
    x = 1,879,690,356,324/641,040
  6. Step 6: Final answer
    x = 2,932,251.27

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Why These Related Problems?

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