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Finding the Third Proportional to 1,478,401.03 and 2,161,474.03

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Solution

The third proportional to 1,478,401.03 and 2,161,474.03 is: 3,160,150.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,401.03 : 2,161,474.03 = 2,161,474.03 : x
  2. Step 2: Convert to fraction form
    1,478,401.03/2,161,474.03 = 2,161,474.03/x
  3. Step 3: Cross multiply
    1,478,401.03x = 2,161,474.03 × 2,161,474.03
  4. Step 4: Simplify right side
    1,478,401.03x = 4,671,969,987,768.13
  5. Step 5: Solve for x
    x = 4,671,969,987,768.13/1,478,401.03
  6. Step 6: Final answer
    x = 3,160,150.66

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.