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Finding the Third Proportional to 1,228,421 and 2,658,058

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Solution

The third proportional to 1,228,421 and 2,658,058 is: 5,751,507.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,228,421 : 2,658,058 = 2,658,058 : x
  2. Step 2: Convert to fraction form
    1,228,421/2,658,058 = 2,658,058/x
  3. Step 3: Cross multiply
    1,228,421x = 2,658,058 × 2,658,058
  4. Step 4: Simplify right side
    1,228,421x = 7,065,272,331,364
  5. Step 5: Solve for x
    x = 7,065,272,331,364/1,228,421
  6. Step 6: Final answer
    x = 5,751,507.29

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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.