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Finding the Third Proportional to 696,834 and 1,054,872

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Solution

The third proportional to 696,834 and 1,054,872 is: 1,596,872.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,834 : 1,054,872 = 1,054,872 : x
  2. Step 2: Convert to fraction form
    696,834/1,054,872 = 1,054,872/x
  3. Step 3: Cross multiply
    696,834x = 1,054,872 × 1,054,872
  4. Step 4: Simplify right side
    696,834x = 1,112,754,936,384
  5. Step 5: Solve for x
    x = 1,112,754,936,384/696,834
  6. Step 6: Final answer
    x = 1,596,872.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.