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Finding the Third Proportional to 549,009 and 820,281

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Solution

The third proportional to 549,009 and 820,281 is: 1,225,591.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,009 : 820,281 = 820,281 : x
  2. Step 2: Convert to fraction form
    549,009/820,281 = 820,281/x
  3. Step 3: Cross multiply
    549,009x = 820,281 × 820,281
  4. Step 4: Simplify right side
    549,009x = 672,860,918,961
  5. Step 5: Solve for x
    x = 672,860,918,961/549,009
  6. Step 6: Final answer
    x = 1,225,591.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.