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Finding the Third Proportional to 1,973,949 and 2,975,517

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Solution

The third proportional to 1,973,949 and 2,975,517 is: 4,485,273.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,973,949 : 2,975,517 = 2,975,517 : x
  2. Step 2: Convert to fraction form
    1,973,949/2,975,517 = 2,975,517/x
  3. Step 3: Cross multiply
    1,973,949x = 2,975,517 × 2,975,517
  4. Step 4: Simplify right side
    1,973,949x = 8,853,701,417,289
  5. Step 5: Solve for x
    x = 8,853,701,417,289/1,973,949
  6. Step 6: Final answer
    x = 4,485,273.64

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.