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Finding the Third Proportional to 540,037 and 1,166,699

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Solution

The third proportional to 540,037 and 1,166,699 is: 2,520,543.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,037 : 1,166,699 = 1,166,699 : x
  2. Step 2: Convert to fraction form
    540,037/1,166,699 = 1,166,699/x
  3. Step 3: Cross multiply
    540,037x = 1,166,699 × 1,166,699
  4. Step 4: Simplify right side
    540,037x = 1,361,186,556,601
  5. Step 5: Solve for x
    x = 1,361,186,556,601/540,037
  6. Step 6: Final answer
    x = 2,520,543.14

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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.