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Finding the Third Proportional to 448,257 and 962,943

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Solution

The third proportional to 448,257 and 962,943 is: 2,068,588.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,257 : 962,943 = 962,943 : x
  2. Step 2: Convert to fraction form
    448,257/962,943 = 962,943/x
  3. Step 3: Cross multiply
    448,257x = 962,943 × 962,943
  4. Step 4: Simplify right side
    448,257x = 927,259,221,249
  5. Step 5: Solve for x
    x = 927,259,221,249/448,257
  6. Step 6: Final answer
    x = 2,068,588.38

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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.