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Finding the Third Proportional to 549,506 and 1,171,593

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Solution

The third proportional to 549,506 and 1,171,593 is: 2,497,934.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,506 : 1,171,593 = 1,171,593 : x
  2. Step 2: Convert to fraction form
    549,506/1,171,593 = 1,171,593/x
  3. Step 3: Cross multiply
    549,506x = 1,171,593 × 1,171,593
  4. Step 4: Simplify right side
    549,506x = 1,372,630,157,649
  5. Step 5: Solve for x
    x = 1,372,630,157,649/549,506
  6. Step 6: Final answer
    x = 2,497,934.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.