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Finding the Third Proportional to 531,334.69 and 1,146,610.69

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Solution

The third proportional to 531,334.69 and 1,146,610.69 is: 2,474,365.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,334.69 : 1,146,610.69 = 1,146,610.69 : x
  2. Step 2: Convert to fraction form
    531,334.69/1,146,610.69 = 1,146,610.69/x
  3. Step 3: Cross multiply
    531,334.69x = 1,146,610.69 × 1,146,610.69
  4. Step 4: Simplify right side
    531,334.69x = 1,314,716,068,689.22
  5. Step 5: Solve for x
    x = 1,314,716,068,689.22/531,334.69
  6. Step 6: Final answer
    x = 2,474,365.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.