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Finding the Third Proportional to 616,526 and 967,395

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Solution

The third proportional to 616,526 and 967,395 is: 1,517,945.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    616,526 : 967,395 = 967,395 : x
  2. Step 2: Convert to fraction form
    616,526/967,395 = 967,395/x
  3. Step 3: Cross multiply
    616,526x = 967,395 × 967,395
  4. Step 4: Simplify right side
    616,526x = 935,853,086,025
  5. Step 5: Solve for x
    x = 935,853,086,025/616,526
  6. Step 6: Final answer
    x = 1,517,945.85

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.