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Finding the Third Proportional to 816,264 and 1,765,503

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Solution

The third proportional to 816,264 and 1,765,503 is: 3,818,618.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,264 : 1,765,503 = 1,765,503 : x
  2. Step 2: Convert to fraction form
    816,264/1,765,503 = 1,765,503/x
  3. Step 3: Cross multiply
    816,264x = 1,765,503 × 1,765,503
  4. Step 4: Simplify right side
    816,264x = 3,117,000,843,009
  5. Step 5: Solve for x
    x = 3,117,000,843,009/816,264
  6. Step 6: Final answer
    x = 3,818,618.54

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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.