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Finding the Third Proportional to 602,030 and 819,993

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Solution

The third proportional to 602,030 and 819,993 is: 1,116,868.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,030 : 819,993 = 819,993 : x
  2. Step 2: Convert to fraction form
    602,030/819,993 = 819,993/x
  3. Step 3: Cross multiply
    602,030x = 819,993 × 819,993
  4. Step 4: Simplify right side
    602,030x = 672,388,520,049
  5. Step 5: Solve for x
    x = 672,388,520,049/602,030
  6. Step 6: Final answer
    x = 1,116,868.79

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.