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Finding the Third Proportional to 695,214 and 1,075,899

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Solution

The third proportional to 695,214 and 1,075,899 is: 1,665,039.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,214 : 1,075,899 = 1,075,899 : x
  2. Step 2: Convert to fraction form
    695,214/1,075,899 = 1,075,899/x
  3. Step 3: Cross multiply
    695,214x = 1,075,899 × 1,075,899
  4. Step 4: Simplify right side
    695,214x = 1,157,558,658,201
  5. Step 5: Solve for x
    x = 1,157,558,658,201/695,214
  6. Step 6: Final answer
    x = 1,665,039.34

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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.