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Finding the Third Proportional to 647,084 and 1,377,153

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Solution

The third proportional to 647,084 and 1,377,153 is: 2,930,918.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    647,084 : 1,377,153 = 1,377,153 : x
  2. Step 2: Convert to fraction form
    647,084/1,377,153 = 1,377,153/x
  3. Step 3: Cross multiply
    647,084x = 1,377,153 × 1,377,153
  4. Step 4: Simplify right side
    647,084x = 1,896,550,385,409
  5. Step 5: Solve for x
    x = 1,896,550,385,409/647,084
  6. Step 6: Final answer
    x = 2,930,918.37

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.