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Finding the Third Proportional to 810,128 and 1,744,906

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Solution

The third proportional to 810,128 and 1,744,906 is: 3,758,291.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,128 : 1,744,906 = 1,744,906 : x
  2. Step 2: Convert to fraction form
    810,128/1,744,906 = 1,744,906/x
  3. Step 3: Cross multiply
    810,128x = 1,744,906 × 1,744,906
  4. Step 4: Simplify right side
    810,128x = 3,044,696,948,836
  5. Step 5: Solve for x
    x = 3,044,696,948,836/810,128
  6. Step 6: Final answer
    x = 3,758,291.22

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.