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Finding the Third Proportional to 2,101,623 and 4,453,137

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Solution

The third proportional to 2,101,623 and 4,453,137 is: 9,435,768.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,101,623 : 4,453,137 = 4,453,137 : x
  2. Step 2: Convert to fraction form
    2,101,623/4,453,137 = 4,453,137/x
  3. Step 3: Cross multiply
    2,101,623x = 4,453,137 × 4,453,137
  4. Step 4: Simplify right side
    2,101,623x = 19,830,429,140,769
  5. Step 5: Solve for x
    x = 19,830,429,140,769/2,101,623
  6. Step 6: Final answer
    x = 9,435,768.99

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.