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Finding the Third Proportional to 558,960 and 1,206,480

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Solution

The third proportional to 558,960 and 1,206,480 is: 2,604,111.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,960 : 1,206,480 = 1,206,480 : x
  2. Step 2: Convert to fraction form
    558,960/1,206,480 = 1,206,480/x
  3. Step 3: Cross multiply
    558,960x = 1,206,480 × 1,206,480
  4. Step 4: Simplify right side
    558,960x = 1,455,593,990,400
  5. Step 5: Solve for x
    x = 1,455,593,990,400/558,960
  6. Step 6: Final answer
    x = 2,604,111.19

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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.