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Finding the Third Proportional to 1,262,643 and 2,702,922

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Solution

The third proportional to 1,262,643 and 2,702,922 is: 5,786,106.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,262,643 : 2,702,922 = 2,702,922 : x
  2. Step 2: Convert to fraction form
    1,262,643/2,702,922 = 2,702,922/x
  3. Step 3: Cross multiply
    1,262,643x = 2,702,922 × 2,702,922
  4. Step 4: Simplify right side
    1,262,643x = 7,305,787,338,084
  5. Step 5: Solve for x
    x = 7,305,787,338,084/1,262,643
  6. Step 6: Final answer
    x = 5,786,106.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.