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Finding the Third Proportional to 540,187 and 1,164,104

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Solution

The third proportional to 540,187 and 1,164,104 is: 2,508,646.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,187 : 1,164,104 = 1,164,104 : x
  2. Step 2: Convert to fraction form
    540,187/1,164,104 = 1,164,104/x
  3. Step 3: Cross multiply
    540,187x = 1,164,104 × 1,164,104
  4. Step 4: Simplify right side
    540,187x = 1,355,138,122,816
  5. Step 5: Solve for x
    x = 1,355,138,122,816/540,187
  6. Step 6: Final answer
    x = 2,508,646.31

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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.