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Finding the Third Proportional to 689,551 and 1,462,034

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Solution

The third proportional to 689,551 and 1,462,034 is: 3,099,906.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,551 : 1,462,034 = 1,462,034 : x
  2. Step 2: Convert to fraction form
    689,551/1,462,034 = 1,462,034/x
  3. Step 3: Cross multiply
    689,551x = 1,462,034 × 1,462,034
  4. Step 4: Simplify right side
    689,551x = 2,137,543,417,156
  5. Step 5: Solve for x
    x = 2,137,543,417,156/689,551
  6. Step 6: Final answer
    x = 3,099,906.20

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.