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Finding the Third Proportional to 616,608 and 922,392

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Solution

The third proportional to 616,608 and 922,392 is: 1,379,818.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,608 : 922,392 = 922,392 : x
  2. Step 2: Convert to fraction form
    616,608/922,392 = 922,392/x
  3. Step 3: Cross multiply
    616,608x = 922,392 × 922,392
  4. Step 4: Simplify right side
    616,608x = 850,807,001,664
  5. Step 5: Solve for x
    x = 850,807,001,664/616,608
  6. Step 6: Final answer
    x = 1,379,818.30

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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.