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Finding the Third Proportional to 545,452 and 1,166,714

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Solution

The third proportional to 545,452 and 1,166,714 is: 2,495,584.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    545,452 : 1,166,714 = 1,166,714 : x
  2. Step 2: Convert to fraction form
    545,452/1,166,714 = 1,166,714/x
  3. Step 3: Cross multiply
    545,452x = 1,166,714 × 1,166,714
  4. Step 4: Simplify right side
    545,452x = 1,361,221,557,796
  5. Step 5: Solve for x
    x = 1,361,221,557,796/545,452
  6. Step 6: Final answer
    x = 2,495,584.50

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.