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Finding the Third Proportional to 639,507 and 1,381,477

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Solution

The third proportional to 639,507 and 1,381,477 is: 2,984,296.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,507 : 1,381,477 = 1,381,477 : x
  2. Step 2: Convert to fraction form
    639,507/1,381,477 = 1,381,477/x
  3. Step 3: Cross multiply
    639,507x = 1,381,477 × 1,381,477
  4. Step 4: Simplify right side
    639,507x = 1,908,478,701,529
  5. Step 5: Solve for x
    x = 1,908,478,701,529/639,507
  6. Step 6: Final answer
    x = 2,984,296.81

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.