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Finding the Third Proportional to 689,051 and 1,013,883

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Solution

The third proportional to 689,051 and 1,013,883 is: 1,491,847.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,051 : 1,013,883 = 1,013,883 : x
  2. Step 2: Convert to fraction form
    689,051/1,013,883 = 1,013,883/x
  3. Step 3: Cross multiply
    689,051x = 1,013,883 × 1,013,883
  4. Step 4: Simplify right side
    689,051x = 1,027,958,737,689
  5. Step 5: Solve for x
    x = 1,027,958,737,689/689,051
  6. Step 6: Final answer
    x = 1,491,847.10

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.