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Finding the Third Proportional to 673,242 and 1,473,168

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Solution

The third proportional to 673,242 and 1,473,168 is: 3,223,542.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,242 : 1,473,168 = 1,473,168 : x
  2. Step 2: Convert to fraction form
    673,242/1,473,168 = 1,473,168/x
  3. Step 3: Cross multiply
    673,242x = 1,473,168 × 1,473,168
  4. Step 4: Simplify right side
    673,242x = 2,170,223,956,224
  5. Step 5: Solve for x
    x = 2,170,223,956,224/673,242
  6. Step 6: Final answer
    x = 3,223,542.14

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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.