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Finding the Third Proportional to 2,358,208.50 and 5,052,897

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Solution

The third proportional to 2,358,208.50 and 5,052,897 is: 10,826,764.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,358,208.50 : 5,052,897 = 5,052,897 : x
  2. Step 2: Convert to fraction form
    2,358,208.50/5,052,897 = 5,052,897/x
  3. Step 3: Cross multiply
    2,358,208.50x = 5,052,897 × 5,052,897
  4. Step 4: Simplify right side
    2,358,208.50x = 25,531,768,092,609
  5. Step 5: Solve for x
    x = 25,531,768,092,609/2,358,208.50
  6. Step 6: Final answer
    x = 10,826,764.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.