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Finding the Third Proportional to 848,491 and 1,829,753

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Solution

The third proportional to 848,491 and 1,829,753 is: 3,945,823.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,491 : 1,829,753 = 1,829,753 : x
  2. Step 2: Convert to fraction form
    848,491/1,829,753 = 1,829,753/x
  3. Step 3: Cross multiply
    848,491x = 1,829,753 × 1,829,753
  4. Step 4: Simplify right side
    848,491x = 3,347,996,041,009
  5. Step 5: Solve for x
    x = 3,347,996,041,009/848,491
  6. Step 6: Final answer
    x = 3,945,823.87

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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.