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Finding the Third Proportional to 891,059 and 1,921,221

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Solution

The third proportional to 891,059 and 1,921,221 is: 4,142,363.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    891,059 : 1,921,221 = 1,921,221 : x
  2. Step 2: Convert to fraction form
    891,059/1,921,221 = 1,921,221/x
  3. Step 3: Cross multiply
    891,059x = 1,921,221 × 1,921,221
  4. Step 4: Simplify right side
    891,059x = 3,691,090,130,841
  5. Step 5: Solve for x
    x = 3,691,090,130,841/891,059
  6. Step 6: Final answer
    x = 4,142,363.33

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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.