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Finding the Third Proportional to 690,590 and 1,509,266

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Solution

The third proportional to 690,590 and 1,509,266 is: 3,298,460.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    690,590 : 1,509,266 = 1,509,266 : x
  2. Step 2: Convert to fraction form
    690,590/1,509,266 = 1,509,266/x
  3. Step 3: Cross multiply
    690,590x = 1,509,266 × 1,509,266
  4. Step 4: Simplify right side
    690,590x = 2,277,883,858,756
  5. Step 5: Solve for x
    x = 2,277,883,858,756/690,590
  6. Step 6: Final answer
    x = 3,298,460.53

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.