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Finding the Third Proportional to 1,448,900 and 3,146,694

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Solution

The third proportional to 1,448,900 and 3,146,694 is: 6,833,931.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,900 : 3,146,694 = 3,146,694 : x
  2. Step 2: Convert to fraction form
    1,448,900/3,146,694 = 3,146,694/x
  3. Step 3: Cross multiply
    1,448,900x = 3,146,694 × 3,146,694
  4. Step 4: Simplify right side
    1,448,900x = 9,901,683,129,636
  5. Step 5: Solve for x
    x = 9,901,683,129,636/1,448,900
  6. Step 6: Final answer
    x = 6,833,931.35

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.