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Finding the Third Proportional to 2,812,829 and 4,200,714

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Solution

The third proportional to 2,812,829 and 4,200,714 is: 6,273,398.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,812,829 : 4,200,714 = 4,200,714 : x
  2. Step 2: Convert to fraction form
    2,812,829/4,200,714 = 4,200,714/x
  3. Step 3: Cross multiply
    2,812,829x = 4,200,714 × 4,200,714
  4. Step 4: Simplify right side
    2,812,829x = 17,645,998,109,796
  5. Step 5: Solve for x
    x = 17,645,998,109,796/2,812,829
  6. Step 6: Final answer
    x = 6,273,398.81

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.