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Finding the Third Proportional to 763,939 and 1,663,814

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Solution

The third proportional to 763,939 and 1,663,814 is: 3,623,688.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    763,939 : 1,663,814 = 1,663,814 : x
  2. Step 2: Convert to fraction form
    763,939/1,663,814 = 1,663,814/x
  3. Step 3: Cross multiply
    763,939x = 1,663,814 × 1,663,814
  4. Step 4: Simplify right side
    763,939x = 2,768,277,026,596
  5. Step 5: Solve for x
    x = 2,768,277,026,596/763,939
  6. Step 6: Final answer
    x = 3,623,688.58

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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.