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Finding the Third Proportional to 2,001,458 and 2,949,249

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Solution

The third proportional to 2,001,458 and 2,949,249 is: 4,345,866.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,001,458 : 2,949,249 = 2,949,249 : x
  2. Step 2: Convert to fraction form
    2,001,458/2,949,249 = 2,949,249/x
  3. Step 3: Cross multiply
    2,001,458x = 2,949,249 × 2,949,249
  4. Step 4: Simplify right side
    2,001,458x = 8,698,069,664,001
  5. Step 5: Solve for x
    x = 8,698,069,664,001/2,001,458
  6. Step 6: Final answer
    x = 4,345,866.70

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.