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Finding the Third Proportional to 549,778 and 1,166,948

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Solution

The third proportional to 549,778 and 1,166,948 is: 2,476,940.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,778 : 1,166,948 = 1,166,948 : x
  2. Step 2: Convert to fraction form
    549,778/1,166,948 = 1,166,948/x
  3. Step 3: Cross multiply
    549,778x = 1,166,948 × 1,166,948
  4. Step 4: Simplify right side
    549,778x = 1,361,767,634,704
  5. Step 5: Solve for x
    x = 1,361,767,634,704/549,778
  6. Step 6: Final answer
    x = 2,476,940.94

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.