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Finding the Third Proportional to 578,764 and 1,201,880

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Solution

The third proportional to 578,764 and 1,201,880 is: 2,495,862.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,764 : 1,201,880 = 1,201,880 : x
  2. Step 2: Convert to fraction form
    578,764/1,201,880 = 1,201,880/x
  3. Step 3: Cross multiply
    578,764x = 1,201,880 × 1,201,880
  4. Step 4: Simplify right side
    578,764x = 1,444,515,534,400
  5. Step 5: Solve for x
    x = 1,444,515,534,400/578,764
  6. Step 6: Final answer
    x = 2,495,862.79

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.