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Finding the Third Proportional to 792,342 and 1,075,761

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Solution

The third proportional to 792,342 and 1,075,761 is: 1,460,558.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    792,342 : 1,075,761 = 1,075,761 : x
  2. Step 2: Convert to fraction form
    792,342/1,075,761 = 1,075,761/x
  3. Step 3: Cross multiply
    792,342x = 1,075,761 × 1,075,761
  4. Step 4: Simplify right side
    792,342x = 1,157,261,729,121
  5. Step 5: Solve for x
    x = 1,157,261,729,121/792,342
  6. Step 6: Final answer
    x = 1,460,558.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.