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Finding the Third Proportional to 641,986 and 1,355,598

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Solution

The third proportional to 641,986 and 1,355,598 is: 2,862,439.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,986 : 1,355,598 = 1,355,598 : x
  2. Step 2: Convert to fraction form
    641,986/1,355,598 = 1,355,598/x
  3. Step 3: Cross multiply
    641,986x = 1,355,598 × 1,355,598
  4. Step 4: Simplify right side
    641,986x = 1,837,645,937,604
  5. Step 5: Solve for x
    x = 1,837,645,937,604/641,986
  6. Step 6: Final answer
    x = 2,862,439.27

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.