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Finding the Third Proportional to 1,367,409 and 2,822,298

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Solution

The third proportional to 1,367,409 and 2,822,298 is: 5,825,152.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,367,409 : 2,822,298 = 2,822,298 : x
  2. Step 2: Convert to fraction form
    1,367,409/2,822,298 = 2,822,298/x
  3. Step 3: Cross multiply
    1,367,409x = 2,822,298 × 2,822,298
  4. Step 4: Simplify right side
    1,367,409x = 7,965,366,000,804
  5. Step 5: Solve for x
    x = 7,965,366,000,804/1,367,409
  6. Step 6: Final answer
    x = 5,825,152.53

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.