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Finding the Third Proportional to 558,669 and 1,205,922

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Solution

The third proportional to 558,669 and 1,205,922 is: 2,603,058.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,669 : 1,205,922 = 1,205,922 : x
  2. Step 2: Convert to fraction form
    558,669/1,205,922 = 1,205,922/x
  3. Step 3: Cross multiply
    558,669x = 1,205,922 × 1,205,922
  4. Step 4: Simplify right side
    558,669x = 1,454,247,870,084
  5. Step 5: Solve for x
    x = 1,454,247,870,084/558,669
  6. Step 6: Final answer
    x = 2,603,058.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.