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Finding the Third Proportional to 810,648 and 1,211,436

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Solution

The third proportional to 810,648 and 1,211,436 is: 1,810,375.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,648 : 1,211,436 = 1,211,436 : x
  2. Step 2: Convert to fraction form
    810,648/1,211,436 = 1,211,436/x
  3. Step 3: Cross multiply
    810,648x = 1,211,436 × 1,211,436
  4. Step 4: Simplify right side
    810,648x = 1,467,577,182,096
  5. Step 5: Solve for x
    x = 1,467,577,182,096/810,648
  6. Step 6: Final answer
    x = 1,810,375.38

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.