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Finding the Third Proportional to 540,054 and 1,166,751

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Solution

The third proportional to 540,054 and 1,166,751 is: 2,520,688.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,054 : 1,166,751 = 1,166,751 : x
  2. Step 2: Convert to fraction form
    540,054/1,166,751 = 1,166,751/x
  3. Step 3: Cross multiply
    540,054x = 1,166,751 × 1,166,751
  4. Step 4: Simplify right side
    540,054x = 1,361,307,896,001
  5. Step 5: Solve for x
    x = 1,361,307,896,001/540,054
  6. Step 6: Final answer
    x = 2,520,688.48

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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.