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Finding the Third Proportional to 531,291.38 and 1,146,542.25

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Solution

The third proportional to 531,291.38 and 1,146,542.25 is: 2,474,271.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    531,291.38 : 1,146,542.25 = 1,146,542.25 : x
  2. Step 2: Convert to fraction form
    531,291.38/1,146,542.25 = 1,146,542.25/x
  3. Step 3: Cross multiply
    531,291.38x = 1,146,542.25 × 1,146,542.25
  4. Step 4: Simplify right side
    531,291.38x = 1,314,559,131,035.06
  5. Step 5: Solve for x
    x = 1,314,559,131,035.06/531,291.38
  6. Step 6: Final answer
    x = 2,474,271.54

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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.