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Finding the Third Proportional to 689,418 and 1,441,300

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Solution

The third proportional to 689,418 and 1,441,300 is: 3,013,187.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,418 : 1,441,300 = 1,441,300 : x
  2. Step 2: Convert to fraction form
    689,418/1,441,300 = 1,441,300/x
  3. Step 3: Cross multiply
    689,418x = 1,441,300 × 1,441,300
  4. Step 4: Simplify right side
    689,418x = 2,077,345,690,000
  5. Step 5: Solve for x
    x = 2,077,345,690,000/689,418
  6. Step 6: Final answer
    x = 3,013,187.49

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.