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Finding the Third Proportional to 448,259 and 962,947

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Solution

The third proportional to 448,259 and 962,947 is: 2,068,596.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,259 : 962,947 = 962,947 : x
  2. Step 2: Convert to fraction form
    448,259/962,947 = 962,947/x
  3. Step 3: Cross multiply
    448,259x = 962,947 × 962,947
  4. Step 4: Simplify right side
    448,259x = 927,266,924,809
  5. Step 5: Solve for x
    x = 927,266,924,809/448,259
  6. Step 6: Final answer
    x = 2,068,596.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.