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Finding the Third Proportional to 1,346,832 and 2,907,318

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Solution

The third proportional to 1,346,832 and 2,907,318 is: 6,275,836.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,346,832 : 2,907,318 = 2,907,318 : x
  2. Step 2: Convert to fraction form
    1,346,832/2,907,318 = 2,907,318/x
  3. Step 3: Cross multiply
    1,346,832x = 2,907,318 × 2,907,318
  4. Step 4: Simplify right side
    1,346,832x = 8,452,497,953,124
  5. Step 5: Solve for x
    x = 8,452,497,953,124/1,346,832
  6. Step 6: Final answer
    x = 6,275,836.89

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.