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Finding the Third Proportional to 695,709 and 1,014,039

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Solution

The third proportional to 695,709 and 1,014,039 is: 1,478,024.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    695,709 : 1,014,039 = 1,014,039 : x
  2. Step 2: Convert to fraction form
    695,709/1,014,039 = 1,014,039/x
  3. Step 3: Cross multiply
    695,709x = 1,014,039 × 1,014,039
  4. Step 4: Simplify right side
    695,709x = 1,028,275,093,521
  5. Step 5: Solve for x
    x = 1,028,275,093,521/695,709
  6. Step 6: Final answer
    x = 1,478,024.71

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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.