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Finding the Third Proportional to 2,058,838 and 2,970,146

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Solution

The third proportional to 2,058,838 and 2,970,146 is: 4,284,828.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,058,838 : 2,970,146 = 2,970,146 : x
  2. Step 2: Convert to fraction form
    2,058,838/2,970,146 = 2,970,146/x
  3. Step 3: Cross multiply
    2,058,838x = 2,970,146 × 2,970,146
  4. Step 4: Simplify right side
    2,058,838x = 8,821,767,261,316
  5. Step 5: Solve for x
    x = 8,821,767,261,316/2,058,838
  6. Step 6: Final answer
    x = 4,284,828.27

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.