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Finding the Third Proportional to 1,878,556.50 and 4,111,569

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Solution

The third proportional to 1,878,556.50 and 4,111,569 is: 8,998,930.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,878,556.50 : 4,111,569 = 4,111,569 : x
  2. Step 2: Convert to fraction form
    1,878,556.50/4,111,569 = 4,111,569/x
  3. Step 3: Cross multiply
    1,878,556.50x = 4,111,569 × 4,111,569
  4. Step 4: Simplify right side
    1,878,556.50x = 16,904,999,641,761
  5. Step 5: Solve for x
    x = 16,904,999,641,761/1,878,556.50
  6. Step 6: Final answer
    x = 8,998,930.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.