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Finding the Third Proportional to 434,683 and 933,640

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Solution

The third proportional to 434,683 and 933,640 is: 2,005,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,683 : 933,640 = 933,640 : x
  2. Step 2: Convert to fraction form
    434,683/933,640 = 933,640/x
  3. Step 3: Cross multiply
    434,683x = 933,640 × 933,640
  4. Step 4: Simplify right side
    434,683x = 871,683,649,600
  5. Step 5: Solve for x
    x = 871,683,649,600/434,683
  6. Step 6: Final answer
    x = 2,005,331.82

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.