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Finding the Third Proportional to 1,850,924 and 4,127,201

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Solution

The third proportional to 1,850,924 and 4,127,201 is: 9,202,856.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850,924 : 4,127,201 = 4,127,201 : x
  2. Step 2: Convert to fraction form
    1,850,924/4,127,201 = 4,127,201/x
  3. Step 3: Cross multiply
    1,850,924x = 4,127,201 × 4,127,201
  4. Step 4: Simplify right side
    1,850,924x = 17,033,788,094,401
  5. Step 5: Solve for x
    x = 17,033,788,094,401/1,850,924
  6. Step 6: Final answer
    x = 9,202,856.57

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These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.