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Finding the Third Proportional to 468,747 and 970,724.25

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Solution

The third proportional to 468,747 and 970,724.25 is: 2,010,264.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    468,747 : 970,724.25 = 970,724.25 : x
  2. Step 2: Convert to fraction form
    468,747/970,724.25 = 970,724.25/x
  3. Step 3: Cross multiply
    468,747x = 970,724.25 × 970,724.25
  4. Step 4: Simplify right side
    468,747x = 942,305,569,538.06
  5. Step 5: Solve for x
    x = 942,305,569,538.06/468,747
  6. Step 6: Final answer
    x = 2,010,264.75

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.