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Finding the Third Proportional to 696,110 and 1,107,658

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Solution

The third proportional to 696,110 and 1,107,658 is: 1,762,517.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,110 : 1,107,658 = 1,107,658 : x
  2. Step 2: Convert to fraction form
    696,110/1,107,658 = 1,107,658/x
  3. Step 3: Cross multiply
    696,110x = 1,107,658 × 1,107,658
  4. Step 4: Simplify right side
    696,110x = 1,226,906,244,964
  5. Step 5: Solve for x
    x = 1,226,906,244,964/696,110
  6. Step 6: Final answer
    x = 1,762,517.77

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.