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Finding the Third Proportional to 816,219 and 1,772,223

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Solution

The third proportional to 816,219 and 1,772,223 is: 3,847,955.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,219 : 1,772,223 = 1,772,223 : x
  2. Step 2: Convert to fraction form
    816,219/1,772,223 = 1,772,223/x
  3. Step 3: Cross multiply
    816,219x = 1,772,223 × 1,772,223
  4. Step 4: Simplify right side
    816,219x = 3,140,774,361,729
  5. Step 5: Solve for x
    x = 3,140,774,361,729/816,219
  6. Step 6: Final answer
    x = 3,847,955.47

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.