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Finding the Third Proportional to 641,036 and 1,371,010

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Solution

The third proportional to 641,036 and 1,371,010 is: 2,932,235.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,036 : 1,371,010 = 1,371,010 : x
  2. Step 2: Convert to fraction form
    641,036/1,371,010 = 1,371,010/x
  3. Step 3: Cross multiply
    641,036x = 1,371,010 × 1,371,010
  4. Step 4: Simplify right side
    641,036x = 1,879,668,420,100
  5. Step 5: Solve for x
    x = 1,879,668,420,100/641,036
  6. Step 6: Final answer
    x = 2,932,235.35

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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.