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Finding the Third Proportional to 658,773 and 1,438,020

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Solution

The third proportional to 658,773 and 1,438,020 is: 3,139,019.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,773 : 1,438,020 = 1,438,020 : x
  2. Step 2: Convert to fraction form
    658,773/1,438,020 = 1,438,020/x
  3. Step 3: Cross multiply
    658,773x = 1,438,020 × 1,438,020
  4. Step 4: Simplify right side
    658,773x = 2,067,901,520,400
  5. Step 5: Solve for x
    x = 2,067,901,520,400/658,773
  6. Step 6: Final answer
    x = 3,139,019.85

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.