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Finding the Third Proportional to 2,288,178 and 3,461,788

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Solution

The third proportional to 2,288,178 and 3,461,788 is: 5,237,344.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,288,178 : 3,461,788 = 3,461,788 : x
  2. Step 2: Convert to fraction form
    2,288,178/3,461,788 = 3,461,788/x
  3. Step 3: Cross multiply
    2,288,178x = 3,461,788 × 3,461,788
  4. Step 4: Simplify right side
    2,288,178x = 11,983,976,156,944
  5. Step 5: Solve for x
    x = 11,983,976,156,944/2,288,178
  6. Step 6: Final answer
    x = 5,237,344.37

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.