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Finding the Third Proportional to 540,714.66 and 1,166,921.44

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Solution

The third proportional to 540,714.66 and 1,166,921.44 is: 2,518,344.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,714.66 : 1,166,921.44 = 1,166,921.44 : x
  2. Step 2: Convert to fraction form
    540,714.66/1,166,921.44 = 1,166,921.44/x
  3. Step 3: Cross multiply
    540,714.66x = 1,166,921.44 × 1,166,921.44
  4. Step 4: Simplify right side
    540,714.66x = 1,361,705,641,297.07
  5. Step 5: Solve for x
    x = 1,361,705,641,297.07/540,714.66
  6. Step 6: Final answer
    x = 2,518,344.24

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.