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Finding the Third Proportional to 559,458 and 843,831

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Solution

The third proportional to 559,458 and 843,831 is: 1,272,751.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    559,458 : 843,831 = 843,831 : x
  2. Step 2: Convert to fraction form
    559,458/843,831 = 843,831/x
  3. Step 3: Cross multiply
    559,458x = 843,831 × 843,831
  4. Step 4: Simplify right side
    559,458x = 712,050,756,561
  5. Step 5: Solve for x
    x = 712,050,756,561/559,458
  6. Step 6: Final answer
    x = 1,272,751.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.