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Finding the Third Proportional to 1,823,548.25 and 4,221,184

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Solution

The third proportional to 1,823,548.25 and 4,221,184 is: 9,771,276.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,823,548.25 : 4,221,184 = 4,221,184 : x
  2. Step 2: Convert to fraction form
    1,823,548.25/4,221,184 = 4,221,184/x
  3. Step 3: Cross multiply
    1,823,548.25x = 4,221,184 × 4,221,184
  4. Step 4: Simplify right side
    1,823,548.25x = 17,818,394,361,856
  5. Step 5: Solve for x
    x = 17,818,394,361,856/1,823,548.25
  6. Step 6: Final answer
    x = 9,771,276.61

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.