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Finding the Third Proportional to 1,722,247 and 3,772,814

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Solution

The third proportional to 1,722,247 and 3,772,814 is: 8,264,857.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,722,247 : 3,772,814 = 3,772,814 : x
  2. Step 2: Convert to fraction form
    1,722,247/3,772,814 = 3,772,814/x
  3. Step 3: Cross multiply
    1,722,247x = 3,772,814 × 3,772,814
  4. Step 4: Simplify right side
    1,722,247x = 14,234,125,478,596
  5. Step 5: Solve for x
    x = 14,234,125,478,596/1,722,247
  6. Step 6: Final answer
    x = 8,264,857.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.