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Finding the Third Proportional to 415,645 and 893,451

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Solution

The third proportional to 415,645 and 893,451 is: 1,920,520.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,645 : 893,451 = 893,451 : x
  2. Step 2: Convert to fraction form
    415,645/893,451 = 893,451/x
  3. Step 3: Cross multiply
    415,645x = 893,451 × 893,451
  4. Step 4: Simplify right side
    415,645x = 798,254,689,401
  5. Step 5: Solve for x
    x = 798,254,689,401/415,645
  6. Step 6: Final answer
    x = 1,920,520.37

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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.