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Finding the Third Proportional to 2,660,417 and 5,817,724

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Solution

The third proportional to 2,660,417 and 5,817,724 is: 12,722,032.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,660,417 : 5,817,724 = 5,817,724 : x
  2. Step 2: Convert to fraction form
    2,660,417/5,817,724 = 5,817,724/x
  3. Step 3: Cross multiply
    2,660,417x = 5,817,724 × 5,817,724
  4. Step 4: Simplify right side
    2,660,417x = 33,845,912,540,176
  5. Step 5: Solve for x
    x = 33,845,912,540,176/2,660,417
  6. Step 6: Final answer
    x = 12,722,032.88

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.