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Finding the Third Proportional to 2,095,982 and 4,269,038

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Solution

The third proportional to 2,095,982 and 4,269,038 is: 8,695,058.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,095,982 : 4,269,038 = 4,269,038 : x
  2. Step 2: Convert to fraction form
    2,095,982/4,269,038 = 4,269,038/x
  3. Step 3: Cross multiply
    2,095,982x = 4,269,038 × 4,269,038
  4. Step 4: Simplify right side
    2,095,982x = 18,224,685,445,444
  5. Step 5: Solve for x
    x = 18,224,685,445,444/2,095,982
  6. Step 6: Final answer
    x = 8,695,058.19

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.