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Finding the Third Proportional to 2,369,424 and 3,385,920

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Solution

The third proportional to 2,369,424 and 3,385,920 is: 4,838,498.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,369,424 : 3,385,920 = 3,385,920 : x
  2. Step 2: Convert to fraction form
    2,369,424/3,385,920 = 3,385,920/x
  3. Step 3: Cross multiply
    2,369,424x = 3,385,920 × 3,385,920
  4. Step 4: Simplify right side
    2,369,424x = 11,464,454,246,400
  5. Step 5: Solve for x
    x = 11,464,454,246,400/2,369,424
  6. Step 6: Final answer
    x = 4,838,498.41

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.