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Finding the Third Proportional to 2,829,141 and 5,789,016

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Solution

The third proportional to 2,829,141 and 5,789,016 is: 11,845,541.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,829,141 : 5,789,016 = 5,789,016 : x
  2. Step 2: Convert to fraction form
    2,829,141/5,789,016 = 5,789,016/x
  3. Step 3: Cross multiply
    2,829,141x = 5,789,016 × 5,789,016
  4. Step 4: Simplify right side
    2,829,141x = 33,512,706,248,256
  5. Step 5: Solve for x
    x = 33,512,706,248,256/2,829,141
  6. Step 6: Final answer
    x = 11,845,541.19

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.