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Finding the Third Proportional to 578,524 and 1,265,480

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Solution

The third proportional to 578,524 and 1,265,480 is: 2,768,147.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,524 : 1,265,480 = 1,265,480 : x
  2. Step 2: Convert to fraction form
    578,524/1,265,480 = 1,265,480/x
  3. Step 3: Cross multiply
    578,524x = 1,265,480 × 1,265,480
  4. Step 4: Simplify right side
    578,524x = 1,601,439,630,400
  5. Step 5: Solve for x
    x = 1,601,439,630,400/578,524
  6. Step 6: Final answer
    x = 2,768,147.27

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.