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Finding the Third Proportional to 549,339 and 1,322,952

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Solution

The third proportional to 549,339 and 1,322,952 is: 3,186,014.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    549,339 : 1,322,952 = 1,322,952 : x
  2. Step 2: Convert to fraction form
    549,339/1,322,952 = 1,322,952/x
  3. Step 3: Cross multiply
    549,339x = 1,322,952 × 1,322,952
  4. Step 4: Simplify right side
    549,339x = 1,750,201,994,304
  5. Step 5: Solve for x
    x = 1,750,201,994,304/549,339
  6. Step 6: Final answer
    x = 3,186,014.45

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.