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Finding the Third Proportional to 1,450,269 and 3,110,418

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Solution

The third proportional to 1,450,269 and 3,110,418 is: 6,670,969.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,450,269 : 3,110,418 = 3,110,418 : x
  2. Step 2: Convert to fraction form
    1,450,269/3,110,418 = 3,110,418/x
  3. Step 3: Cross multiply
    1,450,269x = 3,110,418 × 3,110,418
  4. Step 4: Simplify right side
    1,450,269x = 9,674,700,134,724
  5. Step 5: Solve for x
    x = 9,674,700,134,724/1,450,269
  6. Step 6: Final answer
    x = 6,670,969.41

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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.