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Finding the Third Proportional to 549,780 and 1,166,952

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Solution

The third proportional to 549,780 and 1,166,952 is: 2,476,948.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,780 : 1,166,952 = 1,166,952 : x
  2. Step 2: Convert to fraction form
    549,780/1,166,952 = 1,166,952/x
  3. Step 3: Cross multiply
    549,780x = 1,166,952 × 1,166,952
  4. Step 4: Simplify right side
    549,780x = 1,361,776,970,304
  5. Step 5: Solve for x
    x = 1,361,776,970,304/549,780
  6. Step 6: Final answer
    x = 2,476,948.91

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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.