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Finding the Third Proportional to 831,553 and 1,761,260

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Solution

The third proportional to 831,553 and 1,761,260 is: 3,730,413.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,553 : 1,761,260 = 1,761,260 : x
  2. Step 2: Convert to fraction form
    831,553/1,761,260 = 1,761,260/x
  3. Step 3: Cross multiply
    831,553x = 1,761,260 × 1,761,260
  4. Step 4: Simplify right side
    831,553x = 3,102,036,787,600
  5. Step 5: Solve for x
    x = 3,102,036,787,600/831,553
  6. Step 6: Final answer
    x = 3,730,413.80

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.