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Finding the Third Proportional to 662,419 and 1,436,861

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Solution

The third proportional to 662,419 and 1,436,861 is: 3,116,712.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    662,419 : 1,436,861 = 1,436,861 : x
  2. Step 2: Convert to fraction form
    662,419/1,436,861 = 1,436,861/x
  3. Step 3: Cross multiply
    662,419x = 1,436,861 × 1,436,861
  4. Step 4: Simplify right side
    662,419x = 2,064,569,533,321
  5. Step 5: Solve for x
    x = 2,064,569,533,321/662,419
  6. Step 6: Final answer
    x = 3,116,712.43

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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.