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Finding the Third Proportional to 2,170,216 and 4,714,040

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Solution

The third proportional to 2,170,216 and 4,714,040 is: 10,239,613.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,170,216 : 4,714,040 = 4,714,040 : x
  2. Step 2: Convert to fraction form
    2,170,216/4,714,040 = 4,714,040/x
  3. Step 3: Cross multiply
    2,170,216x = 4,714,040 × 4,714,040
  4. Step 4: Simplify right side
    2,170,216x = 22,222,173,121,600
  5. Step 5: Solve for x
    x = 22,222,173,121,600/2,170,216
  6. Step 6: Final answer
    x = 10,239,613.53

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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.