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Finding the Third Proportional to 1,065,861 and 2,331,013

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Solution

The third proportional to 1,065,861 and 2,331,013 is: 5,097,870.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,065,861 : 2,331,013 = 2,331,013 : x
  2. Step 2: Convert to fraction form
    1,065,861/2,331,013 = 2,331,013/x
  3. Step 3: Cross multiply
    1,065,861x = 2,331,013 × 2,331,013
  4. Step 4: Simplify right side
    1,065,861x = 5,433,621,606,169
  5. Step 5: Solve for x
    x = 5,433,621,606,169/1,065,861
  6. Step 6: Final answer
    x = 5,097,870.74

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.