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Finding the Third Proportional to 567,662 and 946,065

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Solution

The third proportional to 567,662 and 946,065 is: 1,576,711.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    567,662 : 946,065 = 946,065 : x
  2. Step 2: Convert to fraction form
    567,662/946,065 = 946,065/x
  3. Step 3: Cross multiply
    567,662x = 946,065 × 946,065
  4. Step 4: Simplify right side
    567,662x = 895,038,984,225
  5. Step 5: Solve for x
    x = 895,038,984,225/567,662
  6. Step 6: Final answer
    x = 1,576,711.11

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.