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Finding the Third Proportional to 1,103,523.75 and 1,497,821.63

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Solution

The third proportional to 1,103,523.75 and 1,497,821.63 is: 2,033,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,103,523.75 : 1,497,821.63 = 1,497,821.63 : x
  2. Step 2: Convert to fraction form
    1,103,523.75/1,497,821.63 = 1,497,821.63/x
  3. Step 3: Cross multiply
    1,103,523.75x = 1,497,821.63 × 1,497,821.63
  4. Step 4: Simplify right side
    1,103,523.75x = 2,243,469,620,317.64
  5. Step 5: Solve for x
    x = 2,243,469,620,317.64/1,103,523.75
  6. Step 6: Final answer
    x = 2,033,005.29

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.