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Finding the Third Proportional to 1,052,137 and 2,301,146

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Solution

The third proportional to 1,052,137 and 2,301,146 is: 5,032,873.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,137 : 2,301,146 = 2,301,146 : x
  2. Step 2: Convert to fraction form
    1,052,137/2,301,146 = 2,301,146/x
  3. Step 3: Cross multiply
    1,052,137x = 2,301,146 × 2,301,146
  4. Step 4: Simplify right side
    1,052,137x = 5,295,272,913,316
  5. Step 5: Solve for x
    x = 5,295,272,913,316/1,052,137
  6. Step 6: Final answer
    x = 5,032,873.96

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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.