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Finding the Third Proportional to 549,504 and 1,199,772

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Solution

The third proportional to 549,504 and 1,199,772 is: 2,619,549.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,504 : 1,199,772 = 1,199,772 : x
  2. Step 2: Convert to fraction form
    549,504/1,199,772 = 1,199,772/x
  3. Step 3: Cross multiply
    549,504x = 1,199,772 × 1,199,772
  4. Step 4: Simplify right side
    549,504x = 1,439,452,851,984
  5. Step 5: Solve for x
    x = 1,439,452,851,984/549,504
  6. Step 6: Final answer
    x = 2,619,549.36

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.