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Finding the Third Proportional to 1,101,057 and 1,684,491

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Solution

The third proportional to 1,101,057 and 1,684,491 is: 2,577,078.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,101,057 : 1,684,491 = 1,684,491 : x
  2. Step 2: Convert to fraction form
    1,101,057/1,684,491 = 1,684,491/x
  3. Step 3: Cross multiply
    1,101,057x = 1,684,491 × 1,684,491
  4. Step 4: Simplify right side
    1,101,057x = 2,837,509,929,081
  5. Step 5: Solve for x
    x = 2,837,509,929,081/1,101,057
  6. Step 6: Final answer
    x = 2,577,078.14

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.