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Finding the Third Proportional to 651,512 and 1,414,432

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Solution

The third proportional to 651,512 and 1,414,432 is: 3,070,730.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    651,512 : 1,414,432 = 1,414,432 : x
  2. Step 2: Convert to fraction form
    651,512/1,414,432 = 1,414,432/x
  3. Step 3: Cross multiply
    651,512x = 1,414,432 × 1,414,432
  4. Step 4: Simplify right side
    651,512x = 2,000,617,882,624
  5. Step 5: Solve for x
    x = 2,000,617,882,624/651,512
  6. Step 6: Final answer
    x = 3,070,730.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.