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Finding the Third Proportional to 831,098 and 1,289,416

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Solution

The third proportional to 831,098 and 1,289,416 is: 2,000,478.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,098 : 1,289,416 = 1,289,416 : x
  2. Step 2: Convert to fraction form
    831,098/1,289,416 = 1,289,416/x
  3. Step 3: Cross multiply
    831,098x = 1,289,416 × 1,289,416
  4. Step 4: Simplify right side
    831,098x = 1,662,593,621,056
  5. Step 5: Solve for x
    x = 1,662,593,621,056/831,098
  6. Step 6: Final answer
    x = 2,000,478.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.