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Finding the Third Proportional to 1,360,382 and 2,969,442

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Solution

The third proportional to 1,360,382 and 2,969,442 is: 6,481,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,360,382 : 2,969,442 = 2,969,442 : x
  2. Step 2: Convert to fraction form
    1,360,382/2,969,442 = 2,969,442/x
  3. Step 3: Cross multiply
    1,360,382x = 2,969,442 × 2,969,442
  4. Step 4: Simplify right side
    1,360,382x = 8,817,585,791,364
  5. Step 5: Solve for x
    x = 8,817,585,791,364/1,360,382
  6. Step 6: Final answer
    x = 6,481,698.37

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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.