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Finding the Third Proportional to 673,812 and 1,474,224

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Solution

The third proportional to 673,812 and 1,474,224 is: 3,225,434.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,812 : 1,474,224 = 1,474,224 : x
  2. Step 2: Convert to fraction form
    673,812/1,474,224 = 1,474,224/x
  3. Step 3: Cross multiply
    673,812x = 1,474,224 × 1,474,224
  4. Step 4: Simplify right side
    673,812x = 2,173,336,402,176
  5. Step 5: Solve for x
    x = 2,173,336,402,176/673,812
  6. Step 6: Final answer
    x = 3,225,434.40

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.