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Finding the Third Proportional to 1,243,590 and 2,677,449

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Solution

The third proportional to 1,243,590 and 2,677,449 is: 5,764,547.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,243,590 : 2,677,449 = 2,677,449 : x
  2. Step 2: Convert to fraction form
    1,243,590/2,677,449 = 2,677,449/x
  3. Step 3: Cross multiply
    1,243,590x = 2,677,449 × 2,677,449
  4. Step 4: Simplify right side
    1,243,590x = 7,168,733,147,601
  5. Step 5: Solve for x
    x = 7,168,733,147,601/1,243,590
  6. Step 6: Final answer
    x = 5,764,547.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.