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Finding the Third Proportional to 2,145,533 and 4,467,430

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Solution

The third proportional to 2,145,533 and 4,467,430 is: 9,302,085.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,145,533 : 4,467,430 = 4,467,430 : x
  2. Step 2: Convert to fraction form
    2,145,533/4,467,430 = 4,467,430/x
  3. Step 3: Cross multiply
    2,145,533x = 4,467,430 × 4,467,430
  4. Step 4: Simplify right side
    2,145,533x = 19,957,930,804,900
  5. Step 5: Solve for x
    x = 19,957,930,804,900/2,145,533
  6. Step 6: Final answer
    x = 9,302,085.22

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.