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Finding the Third Proportional to 549,192.75 and 1,182,652.50

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Solution

The third proportional to 549,192.75 and 1,182,652.50 is: 2,546,768.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,192.75 : 1,182,652.50 = 1,182,652.50 : x
  2. Step 2: Convert to fraction form
    549,192.75/1,182,652.50 = 1,182,652.50/x
  3. Step 3: Cross multiply
    549,192.75x = 1,182,652.50 × 1,182,652.50
  4. Step 4: Simplify right side
    549,192.75x = 1,398,666,935,756.25
  5. Step 5: Solve for x
    x = 1,398,666,935,756.25/549,192.75
  6. Step 6: Final answer
    x = 2,546,768.75

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.