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Finding the Third Proportional to 641,034 and 1,371,006

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Solution

The third proportional to 641,034 and 1,371,006 is: 2,932,227.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,034 : 1,371,006 = 1,371,006 : x
  2. Step 2: Convert to fraction form
    641,034/1,371,006 = 1,371,006/x
  3. Step 3: Cross multiply
    641,034x = 1,371,006 × 1,371,006
  4. Step 4: Simplify right side
    641,034x = 1,879,657,452,036
  5. Step 5: Solve for x
    x = 1,879,657,452,036/641,034
  6. Step 6: Final answer
    x = 2,932,227.39

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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.