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Finding the Third Proportional to 466,557 and 952,798

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Solution

The third proportional to 466,557 and 952,798 is: 1,945,794.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    466,557 : 952,798 = 952,798 : x
  2. Step 2: Convert to fraction form
    466,557/952,798 = 952,798/x
  3. Step 3: Cross multiply
    466,557x = 952,798 × 952,798
  4. Step 4: Simplify right side
    466,557x = 907,824,028,804
  5. Step 5: Solve for x
    x = 907,824,028,804/466,557
  6. Step 6: Final answer
    x = 1,945,794.47

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.