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Finding the Third Proportional to 614,800 and 922,200

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Solution

The third proportional to 614,800 and 922,200 is: 1,383,300

Step by Step Solution

  1. Step 1: Write the proportion equation
    614,800 : 922,200 = 922,200 : x
  2. Step 2: Convert to fraction form
    614,800/922,200 = 922,200/x
  3. Step 3: Cross multiply
    614,800x = 922,200 × 922,200
  4. Step 4: Simplify right side
    614,800x = 850,452,840,000
  5. Step 5: Solve for x
    x = 850,452,840,000/614,800
  6. Step 6: Final answer
    x = 1,383,300

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.