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Finding the Third Proportional to 578,880 and 1,240,830

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Solution

The third proportional to 578,880 and 1,240,830 is: 2,659,720.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,880 : 1,240,830 = 1,240,830 : x
  2. Step 2: Convert to fraction form
    578,880/1,240,830 = 1,240,830/x
  3. Step 3: Cross multiply
    578,880x = 1,240,830 × 1,240,830
  4. Step 4: Simplify right side
    578,880x = 1,539,659,088,900
  5. Step 5: Solve for x
    x = 1,539,659,088,900/578,880
  6. Step 6: Final answer
    x = 2,659,720.65

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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.