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Finding the Third Proportional to 2,854,744 and 4,174,904

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Solution

The third proportional to 2,854,744 and 4,174,904 is: 6,105,564.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,854,744 : 4,174,904 = 4,174,904 : x
  2. Step 2: Convert to fraction form
    2,854,744/4,174,904 = 4,174,904/x
  3. Step 3: Cross multiply
    2,854,744x = 4,174,904 × 4,174,904
  4. Step 4: Simplify right side
    2,854,744x = 17,429,823,409,216
  5. Step 5: Solve for x
    x = 17,429,823,409,216/2,854,744
  6. Step 6: Final answer
    x = 6,105,564.43

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.