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Finding the Third Proportional to 763,936 and 1,663,808

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Solution

The third proportional to 763,936 and 1,663,808 is: 3,623,676.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,936 : 1,663,808 = 1,663,808 : x
  2. Step 2: Convert to fraction form
    763,936/1,663,808 = 1,663,808/x
  3. Step 3: Cross multiply
    763,936x = 1,663,808 × 1,663,808
  4. Step 4: Simplify right side
    763,936x = 2,768,257,060,864
  5. Step 5: Solve for x
    x = 2,768,257,060,864/763,936
  6. Step 6: Final answer
    x = 3,623,676.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.