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Finding the Third Proportional to 950,298 and 1,916,148

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Solution

The third proportional to 950,298 and 1,916,148 is: 3,863,654.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,298 : 1,916,148 = 1,916,148 : x
  2. Step 2: Convert to fraction form
    950,298/1,916,148 = 1,916,148/x
  3. Step 3: Cross multiply
    950,298x = 1,916,148 × 1,916,148
  4. Step 4: Simplify right side
    950,298x = 3,671,623,157,904
  5. Step 5: Solve for x
    x = 3,671,623,157,904/950,298
  6. Step 6: Final answer
    x = 3,863,654.51

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.