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Finding the Third Proportional to 3,231,541.13 and 4,914,455.63

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Solution

The third proportional to 3,231,541.13 and 4,914,455.63 is: 7,473,794.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,231,541.13 : 4,914,455.63 = 4,914,455.63 : x
  2. Step 2: Convert to fraction form
    3,231,541.13/4,914,455.63 = 4,914,455.63/x
  3. Step 3: Cross multiply
    3,231,541.13x = 4,914,455.63 × 4,914,455.63
  4. Step 4: Simplify right side
    3,231,541.13x = 24,151,874,090,094.14
  5. Step 5: Solve for x
    x = 24,151,874,090,094.14/3,231,541.13
  6. Step 6: Final answer
    x = 7,473,794.44

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.