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Finding the Third Proportional to 1,209,138 and 2,639,324

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Solution

The third proportional to 1,209,138 and 2,639,324 is: 5,761,154.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,209,138 : 2,639,324 = 2,639,324 : x
  2. Step 2: Convert to fraction form
    1,209,138/2,639,324 = 2,639,324/x
  3. Step 3: Cross multiply
    1,209,138x = 2,639,324 × 2,639,324
  4. Step 4: Simplify right side
    1,209,138x = 6,966,031,176,976
  5. Step 5: Solve for x
    x = 6,966,031,176,976/1,209,138
  6. Step 6: Final answer
    x = 5,761,154.79

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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.