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Finding the Third Proportional to 608,894 and 927,696

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Solution

The third proportional to 608,894 and 927,696 is: 1,413,414.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,894 : 927,696 = 927,696 : x
  2. Step 2: Convert to fraction form
    608,894/927,696 = 927,696/x
  3. Step 3: Cross multiply
    608,894x = 927,696 × 927,696
  4. Step 4: Simplify right side
    608,894x = 860,619,868,416
  5. Step 5: Solve for x
    x = 860,619,868,416/608,894
  6. Step 6: Final answer
    x = 1,413,414.93

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.