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Finding the Third Proportional to 2,153,648.25 and 3,378,915

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Solution

The third proportional to 2,153,648.25 and 3,378,915 is: 5,301,268.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,153,648.25 : 3,378,915 = 3,378,915 : x
  2. Step 2: Convert to fraction form
    2,153,648.25/3,378,915 = 3,378,915/x
  3. Step 3: Cross multiply
    2,153,648.25x = 3,378,915 × 3,378,915
  4. Step 4: Simplify right side
    2,153,648.25x = 11,417,066,577,225
  5. Step 5: Solve for x
    x = 11,417,066,577,225/2,153,648.25
  6. Step 6: Final answer
    x = 5,301,268.01

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.