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Finding the Third Proportional to 752,596 and 1,072,844

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Solution

The third proportional to 752,596 and 1,072,844 is: 1,529,365.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    752,596 : 1,072,844 = 1,072,844 : x
  2. Step 2: Convert to fraction form
    752,596/1,072,844 = 1,072,844/x
  3. Step 3: Cross multiply
    752,596x = 1,072,844 × 1,072,844
  4. Step 4: Simplify right side
    752,596x = 1,150,994,248,336
  5. Step 5: Solve for x
    x = 1,150,994,248,336/752,596
  6. Step 6: Final answer
    x = 1,529,365.35

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.