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Finding the Third Proportional to 549,219 and 826,637

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Solution

The third proportional to 549,219 and 826,637 is: 1,244,182.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,219 : 826,637 = 826,637 : x
  2. Step 2: Convert to fraction form
    549,219/826,637 = 826,637/x
  3. Step 3: Cross multiply
    549,219x = 826,637 × 826,637
  4. Step 4: Simplify right side
    549,219x = 683,328,729,769
  5. Step 5: Solve for x
    x = 683,328,729,769/549,219
  6. Step 6: Final answer
    x = 1,244,182.61

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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.