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Finding the Third Proportional to 1,024,062.75 and 1,475,126.44

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Solution

The third proportional to 1,024,062.75 and 1,475,126.44 is: 2,124,867.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,024,062.75 : 1,475,126.44 = 1,475,126.44 : x
  2. Step 2: Convert to fraction form
    1,024,062.75/1,475,126.44 = 1,475,126.44/x
  3. Step 3: Cross multiply
    1,024,062.75x = 1,475,126.44 × 1,475,126.44
  4. Step 4: Simplify right side
    1,024,062.75x = 2,175,998,006,611.44
  5. Step 5: Solve for x
    x = 2,175,998,006,611.44/1,024,062.75
  6. Step 6: Final answer
    x = 2,124,867.84

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.