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Finding the Third Proportional to 453,792 and 974,976

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Solution

The third proportional to 453,792 and 974,976 is: 2,094,744.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,792 : 974,976 = 974,976 : x
  2. Step 2: Convert to fraction form
    453,792/974,976 = 974,976/x
  3. Step 3: Cross multiply
    453,792x = 974,976 × 974,976
  4. Step 4: Simplify right side
    453,792x = 950,578,200,576
  5. Step 5: Solve for x
    x = 950,578,200,576/453,792
  6. Step 6: Final answer
    x = 2,094,744.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.