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Finding the Third Proportional to 697,758 and 1,106,685

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Solution

The third proportional to 697,758 and 1,106,685 is: 1,755,267.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,758 : 1,106,685 = 1,106,685 : x
  2. Step 2: Convert to fraction form
    697,758/1,106,685 = 1,106,685/x
  3. Step 3: Cross multiply
    697,758x = 1,106,685 × 1,106,685
  4. Step 4: Simplify right side
    697,758x = 1,224,751,689,225
  5. Step 5: Solve for x
    x = 1,224,751,689,225/697,758
  6. Step 6: Final answer
    x = 1,755,267.14

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Why These Related Problems?

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