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Finding the Third Proportional to 1,250,128.69 and 1,902,166.03

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Solution

The third proportional to 1,250,128.69 and 1,902,166.03 is: 2,894,290.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,250,128.69 : 1,902,166.03 = 1,902,166.03 : x
  2. Step 2: Convert to fraction form
    1,250,128.69/1,902,166.03 = 1,902,166.03/x
  3. Step 3: Cross multiply
    1,250,128.69x = 1,902,166.03 × 1,902,166.03
  4. Step 4: Simplify right side
    1,250,128.69x = 3,618,235,610,441.38
  5. Step 5: Solve for x
    x = 3,618,235,610,441.38/1,250,128.69
  6. Step 6: Final answer
    x = 2,894,290.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.