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Finding the Third Proportional to 415,649 and 893,457

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Solution

The third proportional to 415,649 and 893,457 is: 1,920,527.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,649 : 893,457 = 893,457 : x
  2. Step 2: Convert to fraction form
    415,649/893,457 = 893,457/x
  3. Step 3: Cross multiply
    415,649x = 893,457 × 893,457
  4. Step 4: Simplify right side
    415,649x = 798,265,410,849
  5. Step 5: Solve for x
    x = 798,265,410,849/415,649
  6. Step 6: Final answer
    x = 1,920,527.68

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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.