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Finding the Third Proportional to 540,850.50 and 1,154,090.91

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Solution

The third proportional to 540,850.50 and 1,154,090.91 is: 2,462,650.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    540,850.50 : 1,154,090.91 = 1,154,090.91 : x
  2. Step 2: Convert to fraction form
    540,850.50/1,154,090.91 = 1,154,090.91/x
  3. Step 3: Cross multiply
    540,850.50x = 1,154,090.91 × 1,154,090.91
  4. Step 4: Simplify right side
    540,850.50x = 1,331,925,819,888.95
  5. Step 5: Solve for x
    x = 1,331,925,819,888.95/540,850.50
  6. Step 6: Final answer
    x = 2,462,650.62

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.