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Finding the Third Proportional to 673,366 and 1,473,416

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Solution

The third proportional to 673,366 and 1,473,416 is: 3,224,033.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    673,366 : 1,473,416 = 1,473,416 : x
  2. Step 2: Convert to fraction form
    673,366/1,473,416 = 1,473,416/x
  3. Step 3: Cross multiply
    673,366x = 1,473,416 × 1,473,416
  4. Step 4: Simplify right side
    673,366x = 2,170,954,709,056
  5. Step 5: Solve for x
    x = 2,170,954,709,056/673,366
  6. Step 6: Final answer
    x = 3,224,033.75

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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.