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Finding the Third Proportional to 380,671 and 846,454

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Solution

The third proportional to 380,671 and 846,454 is: 1,882,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,671 : 846,454 = 846,454 : x
  2. Step 2: Convert to fraction form
    380,671/846,454 = 846,454/x
  3. Step 3: Cross multiply
    380,671x = 846,454 × 846,454
  4. Step 4: Simplify right side
    380,671x = 716,484,374,116
  5. Step 5: Solve for x
    x = 716,484,374,116/380,671
  6. Step 6: Final answer
    x = 1,882,161.69

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.