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Finding the Third Proportional to 608,934 and 927,763

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Solution

The third proportional to 608,934 and 927,763 is: 1,413,526.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    608,934 : 927,763 = 927,763 : x
  2. Step 2: Convert to fraction form
    608,934/927,763 = 927,763/x
  3. Step 3: Cross multiply
    608,934x = 927,763 × 927,763
  4. Step 4: Simplify right side
    608,934x = 860,744,184,169
  5. Step 5: Solve for x
    x = 860,744,184,169/608,934
  6. Step 6: Final answer
    x = 1,413,526.23

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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.