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Finding the Third Proportional to 1,648,380 and 3,423,039

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Solution

The third proportional to 1,648,380 and 3,423,039 is: 7,108,309.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,648,380 : 3,423,039 = 3,423,039 : x
  2. Step 2: Convert to fraction form
    1,648,380/3,423,039 = 3,423,039/x
  3. Step 3: Cross multiply
    1,648,380x = 3,423,039 × 3,423,039
  4. Step 4: Simplify right side
    1,648,380x = 11,717,195,995,521
  5. Step 5: Solve for x
    x = 11,717,195,995,521/1,648,380
  6. Step 6: Final answer
    x = 7,108,309.97

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.