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Finding the Third Proportional to 458,786 and 1,079,559

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Solution

The third proportional to 458,786 and 1,079,559 is: 2,540,285.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,786 : 1,079,559 = 1,079,559 : x
  2. Step 2: Convert to fraction form
    458,786/1,079,559 = 1,079,559/x
  3. Step 3: Cross multiply
    458,786x = 1,079,559 × 1,079,559
  4. Step 4: Simplify right side
    458,786x = 1,165,447,634,481
  5. Step 5: Solve for x
    x = 1,165,447,634,481/458,786
  6. Step 6: Final answer
    x = 2,540,285.96

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.