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Finding the Third Proportional to 610,790 and 922,881

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Solution

The third proportional to 610,790 and 922,881 is: 1,394,438.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,790 : 922,881 = 922,881 : x
  2. Step 2: Convert to fraction form
    610,790/922,881 = 922,881/x
  3. Step 3: Cross multiply
    610,790x = 922,881 × 922,881
  4. Step 4: Simplify right side
    610,790x = 851,709,340,161
  5. Step 5: Solve for x
    x = 851,709,340,161/610,790
  6. Step 6: Final answer
    x = 1,394,438.91

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.