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Finding the Third Proportional to 697,874 and 1,106,883

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Solution

The third proportional to 697,874 and 1,106,883 is: 1,755,603.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    697,874 : 1,106,883 = 1,106,883 : x
  2. Step 2: Convert to fraction form
    697,874/1,106,883 = 1,106,883/x
  3. Step 3: Cross multiply
    697,874x = 1,106,883 × 1,106,883
  4. Step 4: Simplify right side
    697,874x = 1,225,189,975,689
  5. Step 5: Solve for x
    x = 1,225,189,975,689/697,874
  6. Step 6: Final answer
    x = 1,755,603.41

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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.