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Finding the Third Proportional to 723,838 and 1,429,508

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Solution

The third proportional to 723,838 and 1,429,508 is: 2,823,136.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    723,838 : 1,429,508 = 1,429,508 : x
  2. Step 2: Convert to fraction form
    723,838/1,429,508 = 1,429,508/x
  3. Step 3: Cross multiply
    723,838x = 1,429,508 × 1,429,508
  4. Step 4: Simplify right side
    723,838x = 2,043,493,122,064
  5. Step 5: Solve for x
    x = 2,043,493,122,064/723,838
  6. Step 6: Final answer
    x = 2,823,136.01

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