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Finding the Third Proportional to 1,233,201 and 2,702,058

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Solution

The third proportional to 1,233,201 and 2,702,058 is: 5,920,460.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,233,201 : 2,702,058 = 2,702,058 : x
  2. Step 2: Convert to fraction form
    1,233,201/2,702,058 = 2,702,058/x
  3. Step 3: Cross multiply
    1,233,201x = 2,702,058 × 2,702,058
  4. Step 4: Simplify right side
    1,233,201x = 7,301,117,435,364
  5. Step 5: Solve for x
    x = 7,301,117,435,364/1,233,201
  6. Step 6: Final answer
    x = 5,920,460.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.