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Finding the Third Proportional to 967,441 and 2,259,133

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Solution

The third proportional to 967,441 and 2,259,133 is: 5,275,445.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,441 : 2,259,133 = 2,259,133 : x
  2. Step 2: Convert to fraction form
    967,441/2,259,133 = 2,259,133/x
  3. Step 3: Cross multiply
    967,441x = 2,259,133 × 2,259,133
  4. Step 4: Simplify right side
    967,441x = 5,103,681,911,689
  5. Step 5: Solve for x
    x = 5,103,681,911,689/967,441
  6. Step 6: Final answer
    x = 5,275,445.13

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.