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Finding the Third Proportional to 695,595 and 1,465,899

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Solution

The third proportional to 695,595 and 1,465,899 is: 3,089,239.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,595 : 1,465,899 = 1,465,899 : x
  2. Step 2: Convert to fraction form
    695,595/1,465,899 = 1,465,899/x
  3. Step 3: Cross multiply
    695,595x = 1,465,899 × 1,465,899
  4. Step 4: Simplify right side
    695,595x = 2,148,859,878,201
  5. Step 5: Solve for x
    x = 2,148,859,878,201/695,595
  6. Step 6: Final answer
    x = 3,089,239.97

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.