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Finding the Third Proportional to 1,969,172 and 4,302,824

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Solution

The third proportional to 1,969,172 and 4,302,824 is: 9,402,070.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,969,172 : 4,302,824 = 4,302,824 : x
  2. Step 2: Convert to fraction form
    1,969,172/4,302,824 = 4,302,824/x
  3. Step 3: Cross multiply
    1,969,172x = 4,302,824 × 4,302,824
  4. Step 4: Simplify right side
    1,969,172x = 18,514,294,374,976
  5. Step 5: Solve for x
    x = 18,514,294,374,976/1,969,172
  6. Step 6: Final answer
    x = 9,402,070.71

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