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Finding the Third Proportional to 810,375 and 1,758,102

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Solution

The third proportional to 810,375 and 1,758,102 is: 3,814,188.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,375 : 1,758,102 = 1,758,102 : x
  2. Step 2: Convert to fraction form
    810,375/1,758,102 = 1,758,102/x
  3. Step 3: Cross multiply
    810,375x = 1,758,102 × 1,758,102
  4. Step 4: Simplify right side
    810,375x = 3,090,922,642,404
  5. Step 5: Solve for x
    x = 3,090,922,642,404/810,375
  6. Step 6: Final answer
    x = 3,814,188.05

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.