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Finding the Third Proportional to 506,904 and 1,075,728

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Solution

The third proportional to 506,904 and 1,075,728 is: 2,282,859.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,904 : 1,075,728 = 1,075,728 : x
  2. Step 2: Convert to fraction form
    506,904/1,075,728 = 1,075,728/x
  3. Step 3: Cross multiply
    506,904x = 1,075,728 × 1,075,728
  4. Step 4: Simplify right side
    506,904x = 1,157,190,729,984
  5. Step 5: Solve for x
    x = 1,157,190,729,984/506,904
  6. Step 6: Final answer
    x = 2,282,859.73

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.