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Finding the Third Proportional to 848,321 and 1,845,903

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Solution

The third proportional to 848,321 and 1,845,903 is: 4,016,590.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,321 : 1,845,903 = 1,845,903 : x
  2. Step 2: Convert to fraction form
    848,321/1,845,903 = 1,845,903/x
  3. Step 3: Cross multiply
    848,321x = 1,845,903 × 1,845,903
  4. Step 4: Simplify right side
    848,321x = 3,407,357,885,409
  5. Step 5: Solve for x
    x = 3,407,357,885,409/848,321
  6. Step 6: Final answer
    x = 4,016,590.28

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.