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Finding the Third Proportional to 1,454,125 and 3,106,165

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Solution

The third proportional to 1,454,125 and 3,106,165 is: 6,635,097.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,454,125 : 3,106,165 = 3,106,165 : x
  2. Step 2: Convert to fraction form
    1,454,125/3,106,165 = 3,106,165/x
  3. Step 3: Cross multiply
    1,454,125x = 3,106,165 × 3,106,165
  4. Step 4: Simplify right side
    1,454,125x = 9,648,261,007,225
  5. Step 5: Solve for x
    x = 9,648,261,007,225/1,454,125
  6. Step 6: Final answer
    x = 6,635,097.40

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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.