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Finding the Third Proportional to 1,949,247 and 2,999,989

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Solution

The third proportional to 1,949,247 and 2,999,989 is: 4,617,133.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,949,247 : 2,999,989 = 2,999,989 : x
  2. Step 2: Convert to fraction form
    1,949,247/2,999,989 = 2,999,989/x
  3. Step 3: Cross multiply
    1,949,247x = 2,999,989 × 2,999,989
  4. Step 4: Simplify right side
    1,949,247x = 8,999,934,000,121
  5. Step 5: Solve for x
    x = 8,999,934,000,121/1,949,247
  6. Step 6: Final answer
    x = 4,617,133.69

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.