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Finding the Third Proportional to 759,856 and 1,621,408

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Solution

The third proportional to 759,856 and 1,621,408 is: 3,459,818.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,856 : 1,621,408 = 1,621,408 : x
  2. Step 2: Convert to fraction form
    759,856/1,621,408 = 1,621,408/x
  3. Step 3: Cross multiply
    759,856x = 1,621,408 × 1,621,408
  4. Step 4: Simplify right side
    759,856x = 2,628,963,902,464
  5. Step 5: Solve for x
    x = 2,628,963,902,464/759,856
  6. Step 6: Final answer
    x = 3,459,818.57

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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.