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Finding the Third Proportional to 400,052 and 874,792

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Solution

The third proportional to 400,052 and 874,792 is: 1,912,903.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    400,052 : 874,792 = 874,792 : x
  2. Step 2: Convert to fraction form
    400,052/874,792 = 874,792/x
  3. Step 3: Cross multiply
    400,052x = 874,792 × 874,792
  4. Step 4: Simplify right side
    400,052x = 765,261,043,264
  5. Step 5: Solve for x
    x = 765,261,043,264/400,052
  6. Step 6: Final answer
    x = 1,912,903.93

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.