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Finding the Third Proportional to 1,300,842 and 2,001,951

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Solution

The third proportional to 1,300,842 and 2,001,951 is: 3,080,933.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,300,842 : 2,001,951 = 2,001,951 : x
  2. Step 2: Convert to fraction form
    1,300,842/2,001,951 = 2,001,951/x
  3. Step 3: Cross multiply
    1,300,842x = 2,001,951 × 2,001,951
  4. Step 4: Simplify right side
    1,300,842x = 4,007,807,806,401
  5. Step 5: Solve for x
    x = 4,007,807,806,401/1,300,842
  6. Step 6: Final answer
    x = 3,080,933.58

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.