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Finding the Third Proportional to 601,850.25 and 1,224,719.16

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Solution

The third proportional to 601,850.25 and 1,224,719.16 is: 2,492,209.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,850.25 : 1,224,719.16 = 1,224,719.16 : x
  2. Step 2: Convert to fraction form
    601,850.25/1,224,719.16 = 1,224,719.16/x
  3. Step 3: Cross multiply
    601,850.25x = 1,224,719.16 × 1,224,719.16
  4. Step 4: Simplify right side
    601,850.25x = 1,499,937,011,685.71
  5. Step 5: Solve for x
    x = 1,499,937,011,685.71/601,850.25
  6. Step 6: Final answer
    x = 2,492,209.67

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.