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Finding the Third Proportional to 773,307 and 1,697,910

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Solution

The third proportional to 773,307 and 1,697,910 is: 3,728,012.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,307 : 1,697,910 = 1,697,910 : x
  2. Step 2: Convert to fraction form
    773,307/1,697,910 = 1,697,910/x
  3. Step 3: Cross multiply
    773,307x = 1,697,910 × 1,697,910
  4. Step 4: Simplify right side
    773,307x = 2,882,898,368,100
  5. Step 5: Solve for x
    x = 2,882,898,368,100/773,307
  6. Step 6: Final answer
    x = 3,728,012.77

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.