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Finding the Third Proportional to 584,947 and 1,269,888

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Solution

The third proportional to 584,947 and 1,269,888 is: 2,756,857.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    584,947 : 1,269,888 = 1,269,888 : x
  2. Step 2: Convert to fraction form
    584,947/1,269,888 = 1,269,888/x
  3. Step 3: Cross multiply
    584,947x = 1,269,888 × 1,269,888
  4. Step 4: Simplify right side
    584,947x = 1,612,615,532,544
  5. Step 5: Solve for x
    x = 1,612,615,532,544/584,947
  6. Step 6: Final answer
    x = 2,756,857.51

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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.