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Finding the Third Proportional to 2,024,203 and 4,191,641

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Solution

The third proportional to 2,024,203 and 4,191,641 is: 8,679,887.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,024,203 : 4,191,641 = 4,191,641 : x
  2. Step 2: Convert to fraction form
    2,024,203/4,191,641 = 4,191,641/x
  3. Step 3: Cross multiply
    2,024,203x = 4,191,641 × 4,191,641
  4. Step 4: Simplify right side
    2,024,203x = 17,569,854,272,881
  5. Step 5: Solve for x
    x = 17,569,854,272,881/2,024,203
  6. Step 6: Final answer
    x = 8,679,887.48

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.