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Finding the Third Proportional to 1,147,454 and 2,497,570

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Solution

The third proportional to 1,147,454 and 2,497,570 is: 5,436,257.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,147,454 : 2,497,570 = 2,497,570 : x
  2. Step 2: Convert to fraction form
    1,147,454/2,497,570 = 2,497,570/x
  3. Step 3: Cross multiply
    1,147,454x = 2,497,570 × 2,497,570
  4. Step 4: Simplify right side
    1,147,454x = 6,237,855,904,900
  5. Step 5: Solve for x
    x = 6,237,855,904,900/1,147,454
  6. Step 6: Final answer
    x = 5,436,257.93

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