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Finding the Third Proportional to 762,936 and 1,656,964

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Solution

The third proportional to 762,936 and 1,656,964 is: 3,598,636.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    762,936 : 1,656,964 = 1,656,964 : x
  2. Step 2: Convert to fraction form
    762,936/1,656,964 = 1,656,964/x
  3. Step 3: Cross multiply
    762,936x = 1,656,964 × 1,656,964
  4. Step 4: Simplify right side
    762,936x = 2,745,529,697,296
  5. Step 5: Solve for x
    x = 2,745,529,697,296/762,936
  6. Step 6: Final answer
    x = 3,598,636.97

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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.