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Finding the Third Proportional to 540,185 and 1,164,100

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Solution

The third proportional to 540,185 and 1,164,100 is: 2,508,638.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,185 : 1,164,100 = 1,164,100 : x
  2. Step 2: Convert to fraction form
    540,185/1,164,100 = 1,164,100/x
  3. Step 3: Cross multiply
    540,185x = 1,164,100 × 1,164,100
  4. Step 4: Simplify right side
    540,185x = 1,355,128,810,000
  5. Step 5: Solve for x
    x = 1,355,128,810,000/540,185
  6. Step 6: Final answer
    x = 2,508,638.36

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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.