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Finding the Third Proportional to 425,630 and 922,108

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Solution

The third proportional to 425,630 and 922,108 is: 1,997,704.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    425,630 : 922,108 = 922,108 : x
  2. Step 2: Convert to fraction form
    425,630/922,108 = 922,108/x
  3. Step 3: Cross multiply
    425,630x = 922,108 × 922,108
  4. Step 4: Simplify right side
    425,630x = 850,283,163,664
  5. Step 5: Solve for x
    x = 850,283,163,664/425,630
  6. Step 6: Final answer
    x = 1,997,704.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.