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Finding the Third Proportional to 1,596,966.38 and 3,463,458

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Solution

The third proportional to 1,596,966.38 and 3,463,458 is: 7,511,455.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,596,966.38 : 3,463,458 = 3,463,458 : x
  2. Step 2: Convert to fraction form
    1,596,966.38/3,463,458 = 3,463,458/x
  3. Step 3: Cross multiply
    1,596,966.38x = 3,463,458 × 3,463,458
  4. Step 4: Simplify right side
    1,596,966.38x = 11,995,541,317,764
  5. Step 5: Solve for x
    x = 11,995,541,317,764/1,596,966.38
  6. Step 6: Final answer
    x = 7,511,455.16

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Why These Related Problems?

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