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Finding the Third Proportional to 1,766,652 and 3,813,080

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Solution

The third proportional to 1,766,652 and 3,813,080 is: 8,230,018.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,766,652 : 3,813,080 = 3,813,080 : x
  2. Step 2: Convert to fraction form
    1,766,652/3,813,080 = 3,813,080/x
  3. Step 3: Cross multiply
    1,766,652x = 3,813,080 × 3,813,080
  4. Step 4: Simplify right side
    1,766,652x = 14,539,579,086,400
  5. Step 5: Solve for x
    x = 14,539,579,086,400/1,766,652
  6. Step 6: Final answer
    x = 8,230,018.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.