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Finding the Third Proportional to 816,208 and 1,772,200

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Solution

The third proportional to 816,208 and 1,772,200 is: 3,847,907.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,208 : 1,772,200 = 1,772,200 : x
  2. Step 2: Convert to fraction form
    816,208/1,772,200 = 1,772,200/x
  3. Step 3: Cross multiply
    816,208x = 1,772,200 × 1,772,200
  4. Step 4: Simplify right side
    816,208x = 3,140,692,840,000
  5. Step 5: Solve for x
    x = 3,140,692,840,000/816,208
  6. Step 6: Final answer
    x = 3,847,907.45

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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.