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Finding the Third Proportional to 1,057,650.75 and 1,611,262.13

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Solution

The third proportional to 1,057,650.75 and 1,611,262.13 is: 2,454,653.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,057,650.75 : 1,611,262.13 = 1,611,262.13 : x
  2. Step 2: Convert to fraction form
    1,057,650.75/1,611,262.13 = 1,611,262.13/x
  3. Step 3: Cross multiply
    1,057,650.75x = 1,611,262.13 × 1,611,262.13
  4. Step 4: Simplify right side
    1,057,650.75x = 2,596,165,635,459.52
  5. Step 5: Solve for x
    x = 2,596,165,635,459.52/1,057,650.75
  6. Step 6: Final answer
    x = 2,454,653.05

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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.