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Finding the Third Proportional to 965,772 and 2,099,464

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Solution

The third proportional to 965,772 and 2,099,464 is: 4,563,964.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,772 : 2,099,464 = 2,099,464 : x
  2. Step 2: Convert to fraction form
    965,772/2,099,464 = 2,099,464/x
  3. Step 3: Cross multiply
    965,772x = 2,099,464 × 2,099,464
  4. Step 4: Simplify right side
    965,772x = 4,407,749,087,296
  5. Step 5: Solve for x
    x = 4,407,749,087,296/965,772
  6. Step 6: Final answer
    x = 4,563,964.46

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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.