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Finding the Third Proportional to 888,214 and 1,282,021.50

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Solution

The third proportional to 888,214 and 1,282,021.50 is: 1,850,431.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    888,214 : 1,282,021.50 = 1,282,021.50 : x
  2. Step 2: Convert to fraction form
    888,214/1,282,021.50 = 1,282,021.50/x
  3. Step 3: Cross multiply
    888,214x = 1,282,021.50 × 1,282,021.50
  4. Step 4: Simplify right side
    888,214x = 1,643,579,126,462.25
  5. Step 5: Solve for x
    x = 1,643,579,126,462.25/888,214
  6. Step 6: Final answer
    x = 1,850,431.46

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.