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Finding the Third Proportional to 698,664 and 1,082,133

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Solution

The third proportional to 698,664 and 1,082,133 is: 1,676,072.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,664 : 1,082,133 = 1,082,133 : x
  2. Step 2: Convert to fraction form
    698,664/1,082,133 = 1,082,133/x
  3. Step 3: Cross multiply
    698,664x = 1,082,133 × 1,082,133
  4. Step 4: Simplify right side
    698,664x = 1,171,011,829,689
  5. Step 5: Solve for x
    x = 1,171,011,829,689/698,664
  6. Step 6: Final answer
    x = 1,676,072.95

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.