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Finding the Third Proportional to 2,721,984 and 5,942,032

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Solution

The third proportional to 2,721,984 and 5,942,032 is: 12,971,326.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,721,984 : 5,942,032 = 5,942,032 : x
  2. Step 2: Convert to fraction form
    2,721,984/5,942,032 = 5,942,032/x
  3. Step 3: Cross multiply
    2,721,984x = 5,942,032 × 5,942,032
  4. Step 4: Simplify right side
    2,721,984x = 35,307,744,289,024
  5. Step 5: Solve for x
    x = 35,307,744,289,024/2,721,984
  6. Step 6: Final answer
    x = 12,971,326.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.