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Finding the Third Proportional to 4,137,714 and 6,421,815

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Solution

The third proportional to 4,137,714 and 6,421,815 is: 9,966,785.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,137,714 : 6,421,815 = 6,421,815 : x
  2. Step 2: Convert to fraction form
    4,137,714/6,421,815 = 6,421,815/x
  3. Step 3: Cross multiply
    4,137,714x = 6,421,815 × 6,421,815
  4. Step 4: Simplify right side
    4,137,714x = 41,239,707,894,225
  5. Step 5: Solve for x
    x = 41,239,707,894,225/4,137,714
  6. Step 6: Final answer
    x = 9,966,785.50

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.