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Finding the Third Proportional to 2,261,871 and 4,878,009

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Solution

The third proportional to 2,261,871 and 4,878,009 is: 10,520,039.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,261,871 : 4,878,009 = 4,878,009 : x
  2. Step 2: Convert to fraction form
    2,261,871/4,878,009 = 4,878,009/x
  3. Step 3: Cross multiply
    2,261,871x = 4,878,009 × 4,878,009
  4. Step 4: Simplify right side
    2,261,871x = 23,794,971,804,081
  5. Step 5: Solve for x
    x = 23,794,971,804,081/2,261,871
  6. Step 6: Final answer
    x = 10,520,039.30

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.