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Finding the Third Proportional to 549,222 and 826,641

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Solution

The third proportional to 549,222 and 826,641 is: 1,244,187.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,222 : 826,641 = 826,641 : x
  2. Step 2: Convert to fraction form
    549,222/826,641 = 826,641/x
  3. Step 3: Cross multiply
    549,222x = 826,641 × 826,641
  4. Step 4: Simplify right side
    549,222x = 683,335,342,881
  5. Step 5: Solve for x
    x = 683,335,342,881/549,222
  6. Step 6: Final answer
    x = 1,244,187.86

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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.