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Finding the Third Proportional to 539,787 and 1,154,313

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Solution

The third proportional to 539,787 and 1,154,313 is: 2,468,452.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,787 : 1,154,313 = 1,154,313 : x
  2. Step 2: Convert to fraction form
    539,787/1,154,313 = 1,154,313/x
  3. Step 3: Cross multiply
    539,787x = 1,154,313 × 1,154,313
  4. Step 4: Simplify right side
    539,787x = 1,332,438,501,969
  5. Step 5: Solve for x
    x = 1,332,438,501,969/539,787
  6. Step 6: Final answer
    x = 2,468,452.37

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.