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Finding the Third Proportional to 541,198 and 1,169,117

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Solution

The third proportional to 541,198 and 1,169,117 is: 2,525,572.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,198 : 1,169,117 = 1,169,117 : x
  2. Step 2: Convert to fraction form
    541,198/1,169,117 = 1,169,117/x
  3. Step 3: Cross multiply
    541,198x = 1,169,117 × 1,169,117
  4. Step 4: Simplify right side
    541,198x = 1,366,834,559,689
  5. Step 5: Solve for x
    x = 1,366,834,559,689/541,198
  6. Step 6: Final answer
    x = 2,525,572.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.