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Finding the Third Proportional to 723,837 and 1,429,509

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Solution

The third proportional to 723,837 and 1,429,509 is: 2,823,143.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,837 : 1,429,509 = 1,429,509 : x
  2. Step 2: Convert to fraction form
    723,837/1,429,509 = 1,429,509/x
  3. Step 3: Cross multiply
    723,837x = 1,429,509 × 1,429,509
  4. Step 4: Simplify right side
    723,837x = 2,043,495,981,081
  5. Step 5: Solve for x
    x = 2,043,495,981,081/723,837
  6. Step 6: Final answer
    x = 2,823,143.86

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.