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Finding the Third Proportional to 1,107,414 and 1,697,679

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Solution

The third proportional to 1,107,414 and 1,697,679 is: 2,602,562.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,107,414 : 1,697,679 = 1,697,679 : x
  2. Step 2: Convert to fraction form
    1,107,414/1,697,679 = 1,697,679/x
  3. Step 3: Cross multiply
    1,107,414x = 1,697,679 × 1,697,679
  4. Step 4: Simplify right side
    1,107,414x = 2,882,113,987,041
  5. Step 5: Solve for x
    x = 2,882,113,987,041/1,107,414
  6. Step 6: Final answer
    x = 2,602,562.35

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.