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Finding the Third Proportional to 965,642 and 1,418,867

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Solution

The third proportional to 965,642 and 1,418,867 is: 2,084,813.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,642 : 1,418,867 = 1,418,867 : x
  2. Step 2: Convert to fraction form
    965,642/1,418,867 = 1,418,867/x
  3. Step 3: Cross multiply
    965,642x = 1,418,867 × 1,418,867
  4. Step 4: Simplify right side
    965,642x = 2,013,183,563,689
  5. Step 5: Solve for x
    x = 2,013,183,563,689/965,642
  6. Step 6: Final answer
    x = 2,084,813.59

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.