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Finding the Third Proportional to 1,242,992 and 2,707,402

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Solution

The third proportional to 1,242,992 and 2,707,402 is: 5,897,081.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,242,992 : 2,707,402 = 2,707,402 : x
  2. Step 2: Convert to fraction form
    1,242,992/2,707,402 = 2,707,402/x
  3. Step 3: Cross multiply
    1,242,992x = 2,707,402 × 2,707,402
  4. Step 4: Simplify right side
    1,242,992x = 7,330,025,589,604
  5. Step 5: Solve for x
    x = 7,330,025,589,604/1,242,992
  6. Step 6: Final answer
    x = 5,897,081.87

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.