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Finding the Third Proportional to 1,256,821 and 2,712,864

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Solution

The third proportional to 1,256,821 and 2,712,864 is: 5,855,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,256,821 : 2,712,864 = 2,712,864 : x
  2. Step 2: Convert to fraction form
    1,256,821/2,712,864 = 2,712,864/x
  3. Step 3: Cross multiply
    1,256,821x = 2,712,864 × 2,712,864
  4. Step 4: Simplify right side
    1,256,821x = 7,359,631,082,496
  5. Step 5: Solve for x
    x = 7,359,631,082,496/1,256,821
  6. Step 6: Final answer
    x = 5,855,751.20

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.