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Finding the Third Proportional to 2,446,848 and 5,756,904

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Solution

The third proportional to 2,446,848 and 5,756,904 is: 13,544,749.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,446,848 : 5,756,904 = 5,756,904 : x
  2. Step 2: Convert to fraction form
    2,446,848/5,756,904 = 5,756,904/x
  3. Step 3: Cross multiply
    2,446,848x = 5,756,904 × 5,756,904
  4. Step 4: Simplify right side
    2,446,848x = 33,141,943,665,216
  5. Step 5: Solve for x
    x = 33,141,943,665,216/2,446,848
  6. Step 6: Final answer
    x = 13,544,749.68

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.