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Finding the Third Proportional to 620,649 and 1,329,867

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Solution

The third proportional to 620,649 and 1,329,867 is: 2,849,511.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    620,649 : 1,329,867 = 1,329,867 : x
  2. Step 2: Convert to fraction form
    620,649/1,329,867 = 1,329,867/x
  3. Step 3: Cross multiply
    620,649x = 1,329,867 × 1,329,867
  4. Step 4: Simplify right side
    620,649x = 1,768,546,237,689
  5. Step 5: Solve for x
    x = 1,768,546,237,689/620,649
  6. Step 6: Final answer
    x = 2,849,511.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.