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Finding the Third Proportional to 1,052,133 and 2,301,138

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Solution

The third proportional to 1,052,133 and 2,301,138 is: 5,032,858.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,133 : 2,301,138 = 2,301,138 : x
  2. Step 2: Convert to fraction form
    1,052,133/2,301,138 = 2,301,138/x
  3. Step 3: Cross multiply
    1,052,133x = 2,301,138 × 2,301,138
  4. Step 4: Simplify right side
    1,052,133x = 5,295,236,095,044
  5. Step 5: Solve for x
    x = 5,295,236,095,044/1,052,133
  6. Step 6: Final answer
    x = 5,032,858.10

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Why These Related Problems?

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