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Finding the Third Proportional to 810,410 and 1,763,524

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Solution

The third proportional to 810,410 and 1,763,524 is: 3,837,584.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,410 : 1,763,524 = 1,763,524 : x
  2. Step 2: Convert to fraction form
    810,410/1,763,524 = 1,763,524/x
  3. Step 3: Cross multiply
    810,410x = 1,763,524 × 1,763,524
  4. Step 4: Simplify right side
    810,410x = 3,110,016,898,576
  5. Step 5: Solve for x
    x = 3,110,016,898,576/810,410
  6. Step 6: Final answer
    x = 3,837,584.55

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.