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Finding the Third Proportional to 838,304 and 1,825,184

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Solution

The third proportional to 838,304 and 1,825,184 is: 3,973,852.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    838,304 : 1,825,184 = 1,825,184 : x
  2. Step 2: Convert to fraction form
    838,304/1,825,184 = 1,825,184/x
  3. Step 3: Cross multiply
    838,304x = 1,825,184 × 1,825,184
  4. Step 4: Simplify right side
    838,304x = 3,331,296,633,856
  5. Step 5: Solve for x
    x = 3,331,296,633,856/838,304
  6. Step 6: Final answer
    x = 3,973,852.72

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.