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Finding the Third Proportional to 848,407 and 1,829,675

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Solution

The third proportional to 848,407 and 1,829,675 is: 3,945,878.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,407 : 1,829,675 = 1,829,675 : x
  2. Step 2: Convert to fraction form
    848,407/1,829,675 = 1,829,675/x
  3. Step 3: Cross multiply
    848,407x = 1,829,675 × 1,829,675
  4. Step 4: Simplify right side
    848,407x = 3,347,710,605,625
  5. Step 5: Solve for x
    x = 3,347,710,605,625/848,407
  6. Step 6: Final answer
    x = 3,945,878.11

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.