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Finding the Third Proportional to 2,099,820 and 4,497,036

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Solution

The third proportional to 2,099,820 and 4,497,036 is: 9,630,983.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,099,820 : 4,497,036 = 4,497,036 : x
  2. Step 2: Convert to fraction form
    2,099,820/4,497,036 = 4,497,036/x
  3. Step 3: Cross multiply
    2,099,820x = 4,497,036 × 4,497,036
  4. Step 4: Simplify right side
    2,099,820x = 20,223,332,785,296
  5. Step 5: Solve for x
    x = 20,223,332,785,296/2,099,820
  6. Step 6: Final answer
    x = 9,630,983.98

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.