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Finding the Third Proportional to 695,711 and 1,014,042

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Solution

The third proportional to 695,711 and 1,014,042 is: 1,478,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,711 : 1,014,042 = 1,014,042 : x
  2. Step 2: Convert to fraction form
    695,711/1,014,042 = 1,014,042/x
  3. Step 3: Cross multiply
    695,711x = 1,014,042 × 1,014,042
  4. Step 4: Simplify right side
    695,711x = 1,028,281,177,764
  5. Step 5: Solve for x
    x = 1,028,281,177,764/695,711
  6. Step 6: Final answer
    x = 1,478,029.21

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.