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Finding the Third Proportional to 576,961 and 1,255,516

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Solution

The third proportional to 576,961 and 1,255,516 is: 2,732,109.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    576,961 : 1,255,516 = 1,255,516 : x
  2. Step 2: Convert to fraction form
    576,961/1,255,516 = 1,255,516/x
  3. Step 3: Cross multiply
    576,961x = 1,255,516 × 1,255,516
  4. Step 4: Simplify right side
    576,961x = 1,576,320,426,256
  5. Step 5: Solve for x
    x = 1,576,320,426,256/576,961
  6. Step 6: Final answer
    x = 2,732,109.15

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.