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Finding the Third Proportional to 609,718 and 905,733

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Solution

The third proportional to 609,718 and 905,733 is: 1,345,461.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,718 : 905,733 = 905,733 : x
  2. Step 2: Convert to fraction form
    609,718/905,733 = 905,733/x
  3. Step 3: Cross multiply
    609,718x = 905,733 × 905,733
  4. Step 4: Simplify right side
    609,718x = 820,352,267,289
  5. Step 5: Solve for x
    x = 820,352,267,289/609,718
  6. Step 6: Final answer
    x = 1,345,461.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.