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Finding the Third Proportional to 1,101,460 and 1,683,846

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Solution

The third proportional to 1,101,460 and 1,683,846 is: 2,574,162.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,460 : 1,683,846 = 1,683,846 : x
  2. Step 2: Convert to fraction form
    1,101,460/1,683,846 = 1,683,846/x
  3. Step 3: Cross multiply
    1,101,460x = 1,683,846 × 1,683,846
  4. Step 4: Simplify right side
    1,101,460x = 2,835,337,351,716
  5. Step 5: Solve for x
    x = 2,835,337,351,716/1,101,460
  6. Step 6: Final answer
    x = 2,574,162.79

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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.