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Finding the Third Proportional to 604,084 and 846,790

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Solution

The third proportional to 604,084 and 846,790 is: 1,187,009.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,084 : 846,790 = 846,790 : x
  2. Step 2: Convert to fraction form
    604,084/846,790 = 846,790/x
  3. Step 3: Cross multiply
    604,084x = 846,790 × 846,790
  4. Step 4: Simplify right side
    604,084x = 717,053,304,100
  5. Step 5: Solve for x
    x = 717,053,304,100/604,084
  6. Step 6: Final answer
    x = 1,187,009.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.