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Finding the Third Proportional to 810,693 and 1,759,842

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Solution

The third proportional to 810,693 and 1,759,842 is: 3,820,242.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,693 : 1,759,842 = 1,759,842 : x
  2. Step 2: Convert to fraction form
    810,693/1,759,842 = 1,759,842/x
  3. Step 3: Cross multiply
    810,693x = 1,759,842 × 1,759,842
  4. Step 4: Simplify right side
    810,693x = 3,097,043,864,964
  5. Step 5: Solve for x
    x = 3,097,043,864,964/810,693
  6. Step 6: Final answer
    x = 3,820,242.51

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Why These Related Problems?

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