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Finding the Third Proportional to 689,046.75 and 1,013,877

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Solution

The third proportional to 689,046.75 and 1,013,877 is: 1,491,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,046.75 : 1,013,877 = 1,013,877 : x
  2. Step 2: Convert to fraction form
    689,046.75/1,013,877 = 1,013,877/x
  3. Step 3: Cross multiply
    689,046.75x = 1,013,877 × 1,013,877
  4. Step 4: Simplify right side
    689,046.75x = 1,027,946,571,129
  5. Step 5: Solve for x
    x = 1,027,946,571,129/689,046.75
  6. Step 6: Final answer
    x = 1,491,838.65

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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.