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Finding the Third Proportional to 810,377 and 1,758,106

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Solution

The third proportional to 810,377 and 1,758,106 is: 3,814,195.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,377 : 1,758,106 = 1,758,106 : x
  2. Step 2: Convert to fraction form
    810,377/1,758,106 = 1,758,106/x
  3. Step 3: Cross multiply
    810,377x = 1,758,106 × 1,758,106
  4. Step 4: Simplify right side
    810,377x = 3,090,936,707,236
  5. Step 5: Solve for x
    x = 3,090,936,707,236/810,377
  6. Step 6: Final answer
    x = 3,814,195.99

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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.