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Finding the Third Proportional to 2,781,345 and 5,775,858

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Solution

The third proportional to 2,781,345 and 5,775,858 is: 11,994,389.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,345 : 5,775,858 = 5,775,858 : x
  2. Step 2: Convert to fraction form
    2,781,345/5,775,858 = 5,775,858/x
  3. Step 3: Cross multiply
    2,781,345x = 5,775,858 × 5,775,858
  4. Step 4: Simplify right side
    2,781,345x = 33,360,535,636,164
  5. Step 5: Solve for x
    x = 33,360,535,636,164/2,781,345
  6. Step 6: Final answer
    x = 11,994,389.63

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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.