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Finding the Third Proportional to 609,670.13 and 857,790

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Solution

The third proportional to 609,670.13 and 857,790 is: 1,206,888.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,670.13 : 857,790 = 857,790 : x
  2. Step 2: Convert to fraction form
    609,670.13/857,790 = 857,790/x
  3. Step 3: Cross multiply
    609,670.13x = 857,790 × 857,790
  4. Step 4: Simplify right side
    609,670.13x = 735,803,684,100
  5. Step 5: Solve for x
    x = 735,803,684,100/609,670.13
  6. Step 6: Final answer
    x = 1,206,888.21

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.