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Finding the Third Proportional to 803,932 and 1,747,832

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Solution

The third proportional to 803,932 and 1,747,832 is: 3,799,969.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    803,932 : 1,747,832 = 1,747,832 : x
  2. Step 2: Convert to fraction form
    803,932/1,747,832 = 1,747,832/x
  3. Step 3: Cross multiply
    803,932x = 1,747,832 × 1,747,832
  4. Step 4: Simplify right side
    803,932x = 3,054,916,700,224
  5. Step 5: Solve for x
    x = 3,054,916,700,224/803,932
  6. Step 6: Final answer
    x = 3,799,969.03

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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.