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Finding the Third Proportional to 1,139,495.34 and 2,431,533.94

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Solution

The third proportional to 1,139,495.34 and 2,431,533.94 is: 5,188,575.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,139,495.34 : 2,431,533.94 = 2,431,533.94 : x
  2. Step 2: Convert to fraction form
    1,139,495.34/2,431,533.94 = 2,431,533.94/x
  3. Step 3: Cross multiply
    1,139,495.34x = 2,431,533.94 × 2,431,533.94
  4. Step 4: Simplify right side
    1,139,495.34x = 5,912,357,289,214.25
  5. Step 5: Solve for x
    x = 5,912,357,289,214.25/1,139,495.34
  6. Step 6: Final answer
    x = 5,188,575.21

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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.