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Finding the Third Proportional to 696,877 and 1,431,273

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Solution

The third proportional to 696,877 and 1,431,273 is: 2,939,603.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    696,877 : 1,431,273 = 1,431,273 : x
  2. Step 2: Convert to fraction form
    696,877/1,431,273 = 1,431,273/x
  3. Step 3: Cross multiply
    696,877x = 1,431,273 × 1,431,273
  4. Step 4: Simplify right side
    696,877x = 2,048,542,400,529
  5. Step 5: Solve for x
    x = 2,048,542,400,529/696,877
  6. Step 6: Final answer
    x = 2,939,603.98

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.