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Finding the Third Proportional to 575,976 and 1,240,254

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Solution

The third proportional to 575,976 and 1,240,254 is: 2,670,649.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,976 : 1,240,254 = 1,240,254 : x
  2. Step 2: Convert to fraction form
    575,976/1,240,254 = 1,240,254/x
  3. Step 3: Cross multiply
    575,976x = 1,240,254 × 1,240,254
  4. Step 4: Simplify right side
    575,976x = 1,538,229,984,516
  5. Step 5: Solve for x
    x = 1,538,229,984,516/575,976
  6. Step 6: Final answer
    x = 2,670,649.44

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.