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Finding the Third Proportional to 2,669,510 and 6,298,983

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Solution

The third proportional to 2,669,510 and 6,298,983 is: 14,863,097.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669,510 : 6,298,983 = 6,298,983 : x
  2. Step 2: Convert to fraction form
    2,669,510/6,298,983 = 6,298,983/x
  3. Step 3: Cross multiply
    2,669,510x = 6,298,983 × 6,298,983
  4. Step 4: Simplify right side
    2,669,510x = 39,677,186,834,289
  5. Step 5: Solve for x
    x = 39,677,186,834,289/2,669,510
  6. Step 6: Final answer
    x = 14,863,097.29

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.