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Finding the Third Proportional to 828,738 and 1,831,707

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Solution

The third proportional to 828,738 and 1,831,707 is: 4,048,505.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,738 : 1,831,707 = 1,831,707 : x
  2. Step 2: Convert to fraction form
    828,738/1,831,707 = 1,831,707/x
  3. Step 3: Cross multiply
    828,738x = 1,831,707 × 1,831,707
  4. Step 4: Simplify right side
    828,738x = 3,355,150,533,849
  5. Step 5: Solve for x
    x = 3,355,150,533,849/828,738
  6. Step 6: Final answer
    x = 4,048,505.72

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.