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Finding the Third Proportional to 448,182 and 937,917

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Solution

The third proportional to 448,182 and 937,917 is: 1,962,792.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,182 : 937,917 = 937,917 : x
  2. Step 2: Convert to fraction form
    448,182/937,917 = 937,917/x
  3. Step 3: Cross multiply
    448,182x = 937,917 × 937,917
  4. Step 4: Simplify right side
    448,182x = 879,688,298,889
  5. Step 5: Solve for x
    x = 879,688,298,889/448,182
  6. Step 6: Final answer
    x = 1,962,792.57

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.