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Finding the Third Proportional to 2,097,970 and 3,134,007

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Solution

The third proportional to 2,097,970 and 3,134,007 is: 4,681,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,097,970 : 3,134,007 = 3,134,007 : x
  2. Step 2: Convert to fraction form
    2,097,970/3,134,007 = 3,134,007/x
  3. Step 3: Cross multiply
    2,097,970x = 3,134,007 × 3,134,007
  4. Step 4: Simplify right side
    2,097,970x = 9,821,999,876,049
  5. Step 5: Solve for x
    x = 9,821,999,876,049/2,097,970
  6. Step 6: Final answer
    x = 4,681,668.41

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.