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Finding the Third Proportional to 759,846 and 1,621,386

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Solution

The third proportional to 759,846 and 1,621,386 is: 3,459,770.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,846 : 1,621,386 = 1,621,386 : x
  2. Step 2: Convert to fraction form
    759,846/1,621,386 = 1,621,386/x
  3. Step 3: Cross multiply
    759,846x = 1,621,386 × 1,621,386
  4. Step 4: Simplify right side
    759,846x = 2,628,892,560,996
  5. Step 5: Solve for x
    x = 2,628,892,560,996/759,846
  6. Step 6: Final answer
    x = 3,459,770.22

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.