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Finding the Third Proportional to 1,831,392 and 2,801,736

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Solution

The third proportional to 1,831,392 and 2,801,736 is: 4,286,206.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,831,392 : 2,801,736 = 2,801,736 : x
  2. Step 2: Convert to fraction form
    1,831,392/2,801,736 = 2,801,736/x
  3. Step 3: Cross multiply
    1,831,392x = 2,801,736 × 2,801,736
  4. Step 4: Simplify right side
    1,831,392x = 7,849,724,613,696
  5. Step 5: Solve for x
    x = 7,849,724,613,696/1,831,392
  6. Step 6: Final answer
    x = 4,286,206.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.