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Finding the Third Proportional to 1,448,758.41 and 3,146,614.59

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Solution

The third proportional to 1,448,758.41 and 3,146,614.59 is: 6,834,254.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,448,758.41 : 3,146,614.59 = 3,146,614.59 : x
  2. Step 2: Convert to fraction form
    1,448,758.41/3,146,614.59 = 3,146,614.59/x
  3. Step 3: Cross multiply
    1,448,758.41x = 3,146,614.59 × 3,146,614.59
  4. Step 4: Simplify right side
    1,448,758.41x = 9,901,183,401,600.48
  5. Step 5: Solve for x
    x = 9,901,183,401,600.48/1,448,758.41
  6. Step 6: Final answer
    x = 6,834,254.32

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.