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Finding the Third Proportional to 1,431,821 and 3,087,691

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Solution

The third proportional to 1,431,821 and 3,087,691 is: 6,658,538.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,431,821 : 3,087,691 = 3,087,691 : x
  2. Step 2: Convert to fraction form
    1,431,821/3,087,691 = 3,087,691/x
  3. Step 3: Cross multiply
    1,431,821x = 3,087,691 × 3,087,691
  4. Step 4: Simplify right side
    1,431,821x = 9,533,835,711,481
  5. Step 5: Solve for x
    x = 9,533,835,711,481/1,431,821
  6. Step 6: Final answer
    x = 6,658,538.82

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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.