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Finding the Third Proportional to 1,915,057.69 and 2,969,361.28

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Solution

The third proportional to 1,915,057.69 and 2,969,361.28 is: 4,604,094.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,915,057.69 : 2,969,361.28 = 2,969,361.28 : x
  2. Step 2: Convert to fraction form
    1,915,057.69/2,969,361.28 = 2,969,361.28/x
  3. Step 3: Cross multiply
    1,915,057.69x = 2,969,361.28 × 2,969,361.28
  4. Step 4: Simplify right side
    1,915,057.69x = 8,817,106,418,586.64
  5. Step 5: Solve for x
    x = 8,817,106,418,586.64/1,915,057.69
  6. Step 6: Final answer
    x = 4,604,094.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.