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Finding the Third Proportional to 1,058,213 and 2,286,221

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Solution

The third proportional to 1,058,213 and 2,286,221 is: 4,939,276.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,213 : 2,286,221 = 2,286,221 : x
  2. Step 2: Convert to fraction form
    1,058,213/2,286,221 = 2,286,221/x
  3. Step 3: Cross multiply
    1,058,213x = 2,286,221 × 2,286,221
  4. Step 4: Simplify right side
    1,058,213x = 5,226,806,460,841
  5. Step 5: Solve for x
    x = 5,226,806,460,841/1,058,213
  6. Step 6: Final answer
    x = 4,939,276.37

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