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Finding the Third Proportional to 810,132 and 1,772,756

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Solution

The third proportional to 810,132 and 1,772,756 is: 3,879,199.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,132 : 1,772,756 = 1,772,756 : x
  2. Step 2: Convert to fraction form
    810,132/1,772,756 = 1,772,756/x
  3. Step 3: Cross multiply
    810,132x = 1,772,756 × 1,772,756
  4. Step 4: Simplify right side
    810,132x = 3,142,663,835,536
  5. Step 5: Solve for x
    x = 3,142,663,835,536/810,132
  6. Step 6: Final answer
    x = 3,879,199.73

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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.