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Finding the Third Proportional to 695,214 and 1,106,268

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Solution

The third proportional to 695,214 and 1,106,268 is: 1,760,362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,214 : 1,106,268 = 1,106,268 : x
  2. Step 2: Convert to fraction form
    695,214/1,106,268 = 1,106,268/x
  3. Step 3: Cross multiply
    695,214x = 1,106,268 × 1,106,268
  4. Step 4: Simplify right side
    695,214x = 1,223,828,887,824
  5. Step 5: Solve for x
    x = 1,223,828,887,824/695,214
  6. Step 6: Final answer
    x = 1,760,362.83

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Why These Related Problems?

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