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Finding the Third Proportional to 1,026,238 and 1,609,854

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Solution

The third proportional to 1,026,238 and 1,609,854 is: 2,525,369.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,026,238 : 1,609,854 = 1,609,854 : x
  2. Step 2: Convert to fraction form
    1,026,238/1,609,854 = 1,609,854/x
  3. Step 3: Cross multiply
    1,026,238x = 1,609,854 × 1,609,854
  4. Step 4: Simplify right side
    1,026,238x = 2,591,629,901,316
  5. Step 5: Solve for x
    x = 2,591,629,901,316/1,026,238
  6. Step 6: Final answer
    x = 2,525,369.26

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.