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Finding the Third Proportional to 1,830,775.29 and 3,987,020.60

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Solution

The third proportional to 1,830,775.29 and 3,987,020.60 is: 8,682,842.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,775.29 : 3,987,020.60 = 3,987,020.60 : x
  2. Step 2: Convert to fraction form
    1,830,775.29/3,987,020.60 = 3,987,020.60/x
  3. Step 3: Cross multiply
    1,830,775.29x = 3,987,020.60 × 3,987,020.60
  4. Step 4: Simplify right side
    1,830,775.29x = 15,896,333,277,283.80
  5. Step 5: Solve for x
    x = 15,896,333,277,283.80/1,830,775.29
  6. Step 6: Final answer
    x = 8,682,842.39

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.