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Finding the Third Proportional to 1,236,152.25 and 2,567,046

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Solution

The third proportional to 1,236,152.25 and 2,567,046 is: 5,330,836.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,236,152.25 : 2,567,046 = 2,567,046 : x
  2. Step 2: Convert to fraction form
    1,236,152.25/2,567,046 = 2,567,046/x
  3. Step 3: Cross multiply
    1,236,152.25x = 2,567,046 × 2,567,046
  4. Step 4: Simplify right side
    1,236,152.25x = 6,589,725,166,116
  5. Step 5: Solve for x
    x = 6,589,725,166,116/1,236,152.25
  6. Step 6: Final answer
    x = 5,330,836.20

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.