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Finding the Third Proportional to 2,563,994 and 5,471,228

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Solution

The third proportional to 2,563,994 and 5,471,228 is: 11,674,885.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,563,994 : 5,471,228 = 5,471,228 : x
  2. Step 2: Convert to fraction form
    2,563,994/5,471,228 = 5,471,228/x
  3. Step 3: Cross multiply
    2,563,994x = 5,471,228 × 5,471,228
  4. Step 4: Simplify right side
    2,563,994x = 29,934,335,827,984
  5. Step 5: Solve for x
    x = 29,934,335,827,984/2,563,994
  6. Step 6: Final answer
    x = 11,674,885.29

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.