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Finding the Third Proportional to 605,616 and 1,314,261

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Solution

The third proportional to 605,616 and 1,314,261 is: 2,852,107.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,616 : 1,314,261 = 1,314,261 : x
  2. Step 2: Convert to fraction form
    605,616/1,314,261 = 1,314,261/x
  3. Step 3: Cross multiply
    605,616x = 1,314,261 × 1,314,261
  4. Step 4: Simplify right side
    605,616x = 1,727,281,976,121
  5. Step 5: Solve for x
    x = 1,727,281,976,121/605,616
  6. Step 6: Final answer
    x = 2,852,107.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.