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Finding the Third Proportional to 382,545 and 893,485

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Solution

The third proportional to 382,545 and 893,485 is: 2,086,853.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    382,545 : 893,485 = 893,485 : x
  2. Step 2: Convert to fraction form
    382,545/893,485 = 893,485/x
  3. Step 3: Cross multiply
    382,545x = 893,485 × 893,485
  4. Step 4: Simplify right side
    382,545x = 798,315,445,225
  5. Step 5: Solve for x
    x = 798,315,445,225/382,545
  6. Step 6: Final answer
    x = 2,086,853.69

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.