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Finding the Third Proportional to 2,307,942 and 5,342,467

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Solution

The third proportional to 2,307,942 and 5,342,467 is: 12,366,841.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,307,942 : 5,342,467 = 5,342,467 : x
  2. Step 2: Convert to fraction form
    2,307,942/5,342,467 = 5,342,467/x
  3. Step 3: Cross multiply
    2,307,942x = 5,342,467 × 5,342,467
  4. Step 4: Simplify right side
    2,307,942x = 28,541,953,646,089
  5. Step 5: Solve for x
    x = 28,541,953,646,089/2,307,942
  6. Step 6: Final answer
    x = 12,366,841.82

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.