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Finding the Third Proportional to 669,947 and 1,460,351

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Solution

The third proportional to 669,947 and 1,460,351 is: 3,183,274.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,947 : 1,460,351 = 1,460,351 : x
  2. Step 2: Convert to fraction form
    669,947/1,460,351 = 1,460,351/x
  3. Step 3: Cross multiply
    669,947x = 1,460,351 × 1,460,351
  4. Step 4: Simplify right side
    669,947x = 2,132,625,043,201
  5. Step 5: Solve for x
    x = 2,132,625,043,201/669,947
  6. Step 6: Final answer
    x = 3,183,274.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.