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Finding the Third Proportional to 458,695 and 1,036,313

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Solution

The third proportional to 458,695 and 1,036,313 is: 2,341,304.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    458,695 : 1,036,313 = 1,036,313 : x
  2. Step 2: Convert to fraction form
    458,695/1,036,313 = 1,036,313/x
  3. Step 3: Cross multiply
    458,695x = 1,036,313 × 1,036,313
  4. Step 4: Simplify right side
    458,695x = 1,073,944,633,969
  5. Step 5: Solve for x
    x = 1,073,944,633,969/458,695
  6. Step 6: Final answer
    x = 2,341,304.43

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.