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Finding the Third Proportional to 727,150 and 1,562,246

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Solution

The third proportional to 727,150 and 1,562,246 is: 3,356,408.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    727,150 : 1,562,246 = 1,562,246 : x
  2. Step 2: Convert to fraction form
    727,150/1,562,246 = 1,562,246/x
  3. Step 3: Cross multiply
    727,150x = 1,562,246 × 1,562,246
  4. Step 4: Simplify right side
    727,150x = 2,440,612,564,516
  5. Step 5: Solve for x
    x = 2,440,612,564,516/727,150
  6. Step 6: Final answer
    x = 3,356,408.67

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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.