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Finding the Third Proportional to 603,546 and 1,310,928

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Solution

The third proportional to 603,546 and 1,310,928 is: 2,847,392.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    603,546 : 1,310,928 = 1,310,928 : x
  2. Step 2: Convert to fraction form
    603,546/1,310,928 = 1,310,928/x
  3. Step 3: Cross multiply
    603,546x = 1,310,928 × 1,310,928
  4. Step 4: Simplify right side
    603,546x = 1,718,532,221,184
  5. Step 5: Solve for x
    x = 1,718,532,221,184/603,546
  6. Step 6: Final answer
    x = 2,847,392.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.