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Finding the Third Proportional to 600,066 and 1,416,512

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Solution

The third proportional to 600,066 and 1,416,512 is: 3,343,809.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,066 : 1,416,512 = 1,416,512 : x
  2. Step 2: Convert to fraction form
    600,066/1,416,512 = 1,416,512/x
  3. Step 3: Cross multiply
    600,066x = 1,416,512 × 1,416,512
  4. Step 4: Simplify right side
    600,066x = 2,006,506,246,144
  5. Step 5: Solve for x
    x = 2,006,506,246,144/600,066
  6. Step 6: Final answer
    x = 3,343,809.26

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.