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Finding the Third Proportional to 805,302 and 1,089,774

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Solution

The third proportional to 805,302 and 1,089,774 is: 1,474,735.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    805,302 : 1,089,774 = 1,089,774 : x
  2. Step 2: Convert to fraction form
    805,302/1,089,774 = 1,089,774/x
  3. Step 3: Cross multiply
    805,302x = 1,089,774 × 1,089,774
  4. Step 4: Simplify right side
    805,302x = 1,187,607,371,076
  5. Step 5: Solve for x
    x = 1,187,607,371,076/805,302
  6. Step 6: Final answer
    x = 1,474,735.40

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.