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Finding the Third Proportional to 967,470 and 2,259,205

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Solution

The third proportional to 967,470 and 2,259,205 is: 5,275,623.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    967,470 : 2,259,205 = 2,259,205 : x
  2. Step 2: Convert to fraction form
    967,470/2,259,205 = 2,259,205/x
  3. Step 3: Cross multiply
    967,470x = 2,259,205 × 2,259,205
  4. Step 4: Simplify right side
    967,470x = 5,104,007,232,025
  5. Step 5: Solve for x
    x = 5,104,007,232,025/967,470
  6. Step 6: Final answer
    x = 5,275,623.26

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