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Finding the Third Proportional to 1,307,383.50 and 2,824,841

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Solution

The third proportional to 1,307,383.50 and 2,824,841 is: 6,103,585.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,307,383.50 : 2,824,841 = 2,824,841 : x
  2. Step 2: Convert to fraction form
    1,307,383.50/2,824,841 = 2,824,841/x
  3. Step 3: Cross multiply
    1,307,383.50x = 2,824,841 × 2,824,841
  4. Step 4: Simplify right side
    1,307,383.50x = 7,979,726,675,281
  5. Step 5: Solve for x
    x = 7,979,726,675,281/1,307,383.50
  6. Step 6: Final answer
    x = 6,103,585.27

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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.