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Finding the Third Proportional to 565,472 and 1,219,510

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Solution

The third proportional to 565,472 and 1,219,510 is: 2,630,023.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,472 : 1,219,510 = 1,219,510 : x
  2. Step 2: Convert to fraction form
    565,472/1,219,510 = 1,219,510/x
  3. Step 3: Cross multiply
    565,472x = 1,219,510 × 1,219,510
  4. Step 4: Simplify right side
    565,472x = 1,487,204,640,100
  5. Step 5: Solve for x
    x = 1,487,204,640,100/565,472
  6. Step 6: Final answer
    x = 2,630,023.48

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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.