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Finding the Third Proportional to 695,593 and 1,106,503

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Solution

The third proportional to 695,593 and 1,106,503 is: 1,760,151.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,593 : 1,106,503 = 1,106,503 : x
  2. Step 2: Convert to fraction form
    695,593/1,106,503 = 1,106,503/x
  3. Step 3: Cross multiply
    695,593x = 1,106,503 × 1,106,503
  4. Step 4: Simplify right side
    695,593x = 1,224,348,889,009
  5. Step 5: Solve for x
    x = 1,224,348,889,009/695,593
  6. Step 6: Final answer
    x = 1,760,151.25

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.