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Finding the Third Proportional to 2,051,588.25 and 4,749,457.78

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Solution

The third proportional to 2,051,588.25 and 4,749,457.78 is: 10,995,066.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,588.25 : 4,749,457.78 = 4,749,457.78 : x
  2. Step 2: Convert to fraction form
    2,051,588.25/4,749,457.78 = 4,749,457.78/x
  3. Step 3: Cross multiply
    2,051,588.25x = 4,749,457.78 × 4,749,457.78
  4. Step 4: Simplify right side
    2,051,588.25x = 22,557,349,215,876.17
  5. Step 5: Solve for x
    x = 22,557,349,215,876.17/2,051,588.25
  6. Step 6: Final answer
    x = 10,995,066.49

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.