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Finding the Third Proportional to 2,781,353 and 5,775,871

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Solution

The third proportional to 2,781,353 and 5,775,871 is: 11,994,409.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,781,353 : 5,775,871 = 5,775,871 : x
  2. Step 2: Convert to fraction form
    2,781,353/5,775,871 = 5,775,871/x
  3. Step 3: Cross multiply
    2,781,353x = 5,775,871 × 5,775,871
  4. Step 4: Simplify right side
    2,781,353x = 33,360,685,808,641
  5. Step 5: Solve for x
    x = 33,360,685,808,641/2,781,353
  6. Step 6: Final answer
    x = 11,994,409.13

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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.