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Finding the Third Proportional to 695,832 and 1,075,176

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Solution

The third proportional to 695,832 and 1,075,176 is: 1,661,325.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,832 : 1,075,176 = 1,075,176 : x
  2. Step 2: Convert to fraction form
    695,832/1,075,176 = 1,075,176/x
  3. Step 3: Cross multiply
    695,832x = 1,075,176 × 1,075,176
  4. Step 4: Simplify right side
    695,832x = 1,156,003,430,976
  5. Step 5: Solve for x
    x = 1,156,003,430,976/695,832
  6. Step 6: Final answer
    x = 1,661,325.48

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.