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Finding the Third Proportional to 412,818 and 909,439.50

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Solution

The third proportional to 412,818 and 909,439.50 is: 2,003,498.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,818 : 909,439.50 = 909,439.50 : x
  2. Step 2: Convert to fraction form
    412,818/909,439.50 = 909,439.50/x
  3. Step 3: Cross multiply
    412,818x = 909,439.50 × 909,439.50
  4. Step 4: Simplify right side
    412,818x = 827,080,204,160.25
  5. Step 5: Solve for x
    x = 827,080,204,160.25/412,818
  6. Step 6: Final answer
    x = 2,003,498.40

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.