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Finding the Third Proportional to 1,763,827 and 3,863,967

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Solution

The third proportional to 1,763,827 and 3,863,967 is: 8,464,685.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,763,827 : 3,863,967 = 3,863,967 : x
  2. Step 2: Convert to fraction form
    1,763,827/3,863,967 = 3,863,967/x
  3. Step 3: Cross multiply
    1,763,827x = 3,863,967 × 3,863,967
  4. Step 4: Simplify right side
    1,763,827x = 14,930,240,977,089
  5. Step 5: Solve for x
    x = 14,930,240,977,089/1,763,827
  6. Step 6: Final answer
    x = 8,464,685.58

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.