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Finding the Third Proportional to 540,186 and 1,164,102

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Solution

The third proportional to 540,186 and 1,164,102 is: 2,508,642.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,186 : 1,164,102 = 1,164,102 : x
  2. Step 2: Convert to fraction form
    540,186/1,164,102 = 1,164,102/x
  3. Step 3: Cross multiply
    540,186x = 1,164,102 × 1,164,102
  4. Step 4: Simplify right side
    540,186x = 1,355,133,466,404
  5. Step 5: Solve for x
    x = 1,355,133,466,404/540,186
  6. Step 6: Final answer
    x = 2,508,642.33

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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.