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Finding the Third Proportional to 1,227,871 and 2,582,991

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Solution

The third proportional to 1,227,871 and 2,582,991 is: 5,433,667.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,227,871 : 2,582,991 = 2,582,991 : x
  2. Step 2: Convert to fraction form
    1,227,871/2,582,991 = 2,582,991/x
  3. Step 3: Cross multiply
    1,227,871x = 2,582,991 × 2,582,991
  4. Step 4: Simplify right side
    1,227,871x = 6,671,842,506,081
  5. Step 5: Solve for x
    x = 6,671,842,506,081/1,227,871
  6. Step 6: Final answer
    x = 5,433,667.30

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.