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Finding the Third Proportional to 2,131,714 and 4,567,316

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Solution

The third proportional to 2,131,714 and 4,567,316 is: 9,785,728.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,131,714 : 4,567,316 = 4,567,316 : x
  2. Step 2: Convert to fraction form
    2,131,714/4,567,316 = 4,567,316/x
  3. Step 3: Cross multiply
    2,131,714x = 4,567,316 × 4,567,316
  4. Step 4: Simplify right side
    2,131,714x = 20,860,375,443,856
  5. Step 5: Solve for x
    x = 20,860,375,443,856/2,131,714
  6. Step 6: Final answer
    x = 9,785,728.97

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.