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Finding the Third Proportional to 1,419,617 and 3,096,148

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Solution

The third proportional to 1,419,617 and 3,096,148 is: 6,752,618.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,419,617 : 3,096,148 = 3,096,148 : x
  2. Step 2: Convert to fraction form
    1,419,617/3,096,148 = 3,096,148/x
  3. Step 3: Cross multiply
    1,419,617x = 3,096,148 × 3,096,148
  4. Step 4: Simplify right side
    1,419,617x = 9,586,132,437,904
  5. Step 5: Solve for x
    x = 9,586,132,437,904/1,419,617
  6. Step 6: Final answer
    x = 6,752,618.80

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.