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Finding the Third Proportional to 2,781,352 and 5,775,869

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Solution

The third proportional to 2,781,352 and 5,775,869 is: 11,994,405.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,352 : 5,775,869 = 5,775,869 : x
  2. Step 2: Convert to fraction form
    2,781,352/5,775,869 = 5,775,869/x
  3. Step 3: Cross multiply
    2,781,352x = 5,775,869 × 5,775,869
  4. Step 4: Simplify right side
    2,781,352x = 33,360,662,705,161
  5. Step 5: Solve for x
    x = 33,360,662,705,161/2,781,352
  6. Step 6: Final answer
    x = 11,994,405.13

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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.