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Finding the Third Proportional to 802,882 and 1,174,180

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Solution

The third proportional to 802,882 and 1,174,180 is: 1,717,187.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    802,882 : 1,174,180 = 1,174,180 : x
  2. Step 2: Convert to fraction form
    802,882/1,174,180 = 1,174,180/x
  3. Step 3: Cross multiply
    802,882x = 1,174,180 × 1,174,180
  4. Step 4: Simplify right side
    802,882x = 1,378,698,672,400
  5. Step 5: Solve for x
    x = 1,378,698,672,400/802,882
  6. Step 6: Final answer
    x = 1,717,187.17

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.