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Finding the Third Proportional to 793,286 and 1,156,695

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Solution

The third proportional to 793,286 and 1,156,695 is: 1,686,583.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,286 : 1,156,695 = 1,156,695 : x
  2. Step 2: Convert to fraction form
    793,286/1,156,695 = 1,156,695/x
  3. Step 3: Cross multiply
    793,286x = 1,156,695 × 1,156,695
  4. Step 4: Simplify right side
    793,286x = 1,337,943,323,025
  5. Step 5: Solve for x
    x = 1,337,943,323,025/793,286
  6. Step 6: Final answer
    x = 1,686,583.81

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.