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Finding the Third Proportional to 575,523 and 1,251,859

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Solution

The third proportional to 575,523 and 1,251,859 is: 2,723,003.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    575,523 : 1,251,859 = 1,251,859 : x
  2. Step 2: Convert to fraction form
    575,523/1,251,859 = 1,251,859/x
  3. Step 3: Cross multiply
    575,523x = 1,251,859 × 1,251,859
  4. Step 4: Simplify right side
    575,523x = 1,567,150,955,881
  5. Step 5: Solve for x
    x = 1,567,150,955,881/575,523
  6. Step 6: Final answer
    x = 2,723,003.17

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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.