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Finding the Third Proportional to 1,102,145.48 and 1,669,825.76

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Solution

The third proportional to 1,102,145.48 and 1,669,825.76 is: 2,529,900.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,102,145.48 : 1,669,825.76 = 1,669,825.76 : x
  2. Step 2: Convert to fraction form
    1,102,145.48/1,669,825.76 = 1,669,825.76/x
  3. Step 3: Cross multiply
    1,102,145.48x = 1,669,825.76 × 1,669,825.76
  4. Step 4: Simplify right side
    1,102,145.48x = 2,788,318,061,454.09
  5. Step 5: Solve for x
    x = 2,788,318,061,454.09/1,102,145.48
  6. Step 6: Final answer
    x = 2,529,900.18

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.