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Finding the Third Proportional to 965,169 and 2,058,586

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Solution

The third proportional to 965,169 and 2,058,586 is: 4,390,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,169 : 2,058,586 = 2,058,586 : x
  2. Step 2: Convert to fraction form
    965,169/2,058,586 = 2,058,586/x
  3. Step 3: Cross multiply
    965,169x = 2,058,586 × 2,058,586
  4. Step 4: Simplify right side
    965,169x = 4,237,776,319,396
  5. Step 5: Solve for x
    x = 4,237,776,319,396/965,169
  6. Step 6: Final answer
    x = 4,390,709.11

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.