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Finding the Third Proportional to 648,417 and 1,396,707

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Solution

The third proportional to 648,417 and 1,396,707 is: 3,008,543.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,417 : 1,396,707 = 1,396,707 : x
  2. Step 2: Convert to fraction form
    648,417/1,396,707 = 1,396,707/x
  3. Step 3: Cross multiply
    648,417x = 1,396,707 × 1,396,707
  4. Step 4: Simplify right side
    648,417x = 1,950,790,443,849
  5. Step 5: Solve for x
    x = 1,950,790,443,849/648,417
  6. Step 6: Final answer
    x = 3,008,543.03

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.