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Finding the Third Proportional to 715,538 and 1,002,813

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Solution

The third proportional to 715,538 and 1,002,813 is: 1,405,423.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    715,538 : 1,002,813 = 1,002,813 : x
  2. Step 2: Convert to fraction form
    715,538/1,002,813 = 1,002,813/x
  3. Step 3: Cross multiply
    715,538x = 1,002,813 × 1,002,813
  4. Step 4: Simplify right side
    715,538x = 1,005,633,912,969
  5. Step 5: Solve for x
    x = 1,005,633,912,969/715,538
  6. Step 6: Final answer
    x = 1,405,423.49

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.