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Finding the Third Proportional to 1,138,941 and 1,602,063

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Solution

The third proportional to 1,138,941 and 1,602,063 is: 2,253,502.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,138,941 : 1,602,063 = 1,602,063 : x
  2. Step 2: Convert to fraction form
    1,138,941/1,602,063 = 1,602,063/x
  3. Step 3: Cross multiply
    1,138,941x = 1,602,063 × 1,602,063
  4. Step 4: Simplify right side
    1,138,941x = 2,566,605,855,969
  5. Step 5: Solve for x
    x = 2,566,605,855,969/1,138,941
  6. Step 6: Final answer
    x = 2,253,502.03

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.