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Finding the Third Proportional to 810,371 and 1,758,094

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Solution

The third proportional to 810,371 and 1,758,094 is: 3,814,172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,371 : 1,758,094 = 1,758,094 : x
  2. Step 2: Convert to fraction form
    810,371/1,758,094 = 1,758,094/x
  3. Step 3: Cross multiply
    810,371x = 1,758,094 × 1,758,094
  4. Step 4: Simplify right side
    810,371x = 3,090,894,512,836
  5. Step 5: Solve for x
    x = 3,090,894,512,836/810,371
  6. Step 6: Final answer
    x = 3,814,172.17

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.