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Finding the Third Proportional to 1,199,792 and 1,697,669

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Solution

The third proportional to 1,199,792 and 1,697,669 is: 2,402,149.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,199,792 : 1,697,669 = 1,697,669 : x
  2. Step 2: Convert to fraction form
    1,199,792/1,697,669 = 1,697,669/x
  3. Step 3: Cross multiply
    1,199,792x = 1,697,669 × 1,697,669
  4. Step 4: Simplify right side
    1,199,792x = 2,882,080,033,561
  5. Step 5: Solve for x
    x = 2,882,080,033,561/1,199,792
  6. Step 6: Final answer
    x = 2,402,149.73

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.