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Finding the Third Proportional to 540,184 and 1,164,098

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Solution

The third proportional to 540,184 and 1,164,098 is: 2,508,634.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,184 : 1,164,098 = 1,164,098 : x
  2. Step 2: Convert to fraction form
    540,184/1,164,098 = 1,164,098/x
  3. Step 3: Cross multiply
    540,184x = 1,164,098 × 1,164,098
  4. Step 4: Simplify right side
    540,184x = 1,355,124,153,604
  5. Step 5: Solve for x
    x = 1,355,124,153,604/540,184
  6. Step 6: Final answer
    x = 2,508,634.38

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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.