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Finding the Third Proportional to 1,226,201 and 2,864,047

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Solution

The third proportional to 1,226,201 and 2,864,047 is: 6,689,576.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,226,201 : 2,864,047 = 2,864,047 : x
  2. Step 2: Convert to fraction form
    1,226,201/2,864,047 = 2,864,047/x
  3. Step 3: Cross multiply
    1,226,201x = 2,864,047 × 2,864,047
  4. Step 4: Simplify right side
    1,226,201x = 8,202,765,218,209
  5. Step 5: Solve for x
    x = 8,202,765,218,209/1,226,201
  6. Step 6: Final answer
    x = 6,689,576.36

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.