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Finding the Third Proportional to 693,064 and 1,036,774

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Solution

The third proportional to 693,064 and 1,036,774 is: 1,550,939.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    693,064 : 1,036,774 = 1,036,774 : x
  2. Step 2: Convert to fraction form
    693,064/1,036,774 = 1,036,774/x
  3. Step 3: Cross multiply
    693,064x = 1,036,774 × 1,036,774
  4. Step 4: Simplify right side
    693,064x = 1,074,900,327,076
  5. Step 5: Solve for x
    x = 1,074,900,327,076/693,064
  6. Step 6: Final answer
    x = 1,550,939.49

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.