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Finding the Third Proportional to 616,539 and 922,299

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Solution

The third proportional to 616,539 and 922,299 is: 1,379,694.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,539 : 922,299 = 922,299 : x
  2. Step 2: Convert to fraction form
    616,539/922,299 = 922,299/x
  3. Step 3: Cross multiply
    616,539x = 922,299 × 922,299
  4. Step 4: Simplify right side
    616,539x = 850,635,445,401
  5. Step 5: Solve for x
    x = 850,635,445,401/616,539
  6. Step 6: Final answer
    x = 1,379,694.46

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