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Finding the Third Proportional to 616,297.36 and 1,344,697.45

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Solution

The third proportional to 616,297.36 and 1,344,697.45 is: 2,933,991.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,297.36 : 1,344,697.45 = 1,344,697.45 : x
  2. Step 2: Convert to fraction form
    616,297.36/1,344,697.45 = 1,344,697.45/x
  3. Step 3: Cross multiply
    616,297.36x = 1,344,697.45 × 1,344,697.45
  4. Step 4: Simplify right side
    616,297.36x = 1,808,211,240,440.86
  5. Step 5: Solve for x
    x = 1,808,211,240,440.86/616,297.36
  6. Step 6: Final answer
    x = 2,933,991.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.