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Finding the Third Proportional to 610,788 and 922,878

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Solution

The third proportional to 610,788 and 922,878 is: 1,394,434.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    610,788 : 922,878 = 922,878 : x
  2. Step 2: Convert to fraction form
    610,788/922,878 = 922,878/x
  3. Step 3: Cross multiply
    610,788x = 922,878 × 922,878
  4. Step 4: Simplify right side
    610,788x = 851,703,802,884
  5. Step 5: Solve for x
    x = 851,703,802,884/610,788
  6. Step 6: Final answer
    x = 1,394,434.41

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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.