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Finding the Third Proportional to 1,448,862 and 3,146,646

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Solution

The third proportional to 1,448,862 and 3,146,646 is: 6,833,902.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,862 : 3,146,646 = 3,146,646 : x
  2. Step 2: Convert to fraction form
    1,448,862/3,146,646 = 3,146,646/x
  3. Step 3: Cross multiply
    1,448,862x = 3,146,646 × 3,146,646
  4. Step 4: Simplify right side
    1,448,862x = 9,901,381,049,316
  5. Step 5: Solve for x
    x = 9,901,381,049,316/1,448,862
  6. Step 6: Final answer
    x = 6,833,902.09

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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.