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Finding the Third Proportional to 810,670 and 1,759,796

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Solution

The third proportional to 810,670 and 1,759,796 is: 3,820,151.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,670 : 1,759,796 = 1,759,796 : x
  2. Step 2: Convert to fraction form
    810,670/1,759,796 = 1,759,796/x
  3. Step 3: Cross multiply
    810,670x = 1,759,796 × 1,759,796
  4. Step 4: Simplify right side
    810,670x = 3,096,881,961,616
  5. Step 5: Solve for x
    x = 3,096,881,961,616/810,670
  6. Step 6: Final answer
    x = 3,820,151.19

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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.