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Finding the Third Proportional to 1,785,240 and 3,714,876

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Solution

The third proportional to 1,785,240 and 3,714,876 is: 7,730,223.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,785,240 : 3,714,876 = 3,714,876 : x
  2. Step 2: Convert to fraction form
    1,785,240/3,714,876 = 3,714,876/x
  3. Step 3: Cross multiply
    1,785,240x = 3,714,876 × 3,714,876
  4. Step 4: Simplify right side
    1,785,240x = 13,800,303,695,376
  5. Step 5: Solve for x
    x = 13,800,303,695,376/1,785,240
  6. Step 6: Final answer
    x = 7,730,223.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.