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Finding the Third Proportional to 683,989.88 and 1,022,156.44

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Solution

The third proportional to 683,989.88 and 1,022,156.44 is: 1,527,513.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,989.88 : 1,022,156.44 = 1,022,156.44 : x
  2. Step 2: Convert to fraction form
    683,989.88/1,022,156.44 = 1,022,156.44/x
  3. Step 3: Cross multiply
    683,989.88x = 1,022,156.44 × 1,022,156.44
  4. Step 4: Simplify right side
    683,989.88x = 1,044,803,782,722.69
  5. Step 5: Solve for x
    x = 1,044,803,782,722.69/683,989.88
  6. Step 6: Final answer
    x = 1,527,513.52

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.