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Finding the Third Proportional to 1,820,164.92 and 3,924,144.35

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Solution

The third proportional to 1,820,164.92 and 3,924,144.35 is: 8,460,172.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,820,164.92 : 3,924,144.35 = 3,924,144.35 : x
  2. Step 2: Convert to fraction form
    1,820,164.92/3,924,144.35 = 3,924,144.35/x
  3. Step 3: Cross multiply
    1,820,164.92x = 3,924,144.35 × 3,924,144.35
  4. Step 4: Simplify right side
    1,820,164.92x = 15,398,908,891,899.87
  5. Step 5: Solve for x
    x = 15,398,908,891,899.87/1,820,164.92
  6. Step 6: Final answer
    x = 8,460,172.32

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.