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Finding the Third Proportional to 2,802,896 and 6,148,384

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Solution

The third proportional to 2,802,896 and 6,148,384 is: 13,486,988.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802,896 : 6,148,384 = 6,148,384 : x
  2. Step 2: Convert to fraction form
    2,802,896/6,148,384 = 6,148,384/x
  3. Step 3: Cross multiply
    2,802,896x = 6,148,384 × 6,148,384
  4. Step 4: Simplify right side
    2,802,896x = 37,802,625,811,456
  5. Step 5: Solve for x
    x = 37,802,625,811,456/2,802,896
  6. Step 6: Final answer
    x = 13,486,988.39

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.