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Finding the Third Proportional to 1,058,102 and 2,283,472

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Solution

The third proportional to 1,058,102 and 2,283,472 is: 4,927,922.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,058,102 : 2,283,472 = 2,283,472 : x
  2. Step 2: Convert to fraction form
    1,058,102/2,283,472 = 2,283,472/x
  3. Step 3: Cross multiply
    1,058,102x = 2,283,472 × 2,283,472
  4. Step 4: Simplify right side
    1,058,102x = 5,214,244,374,784
  5. Step 5: Solve for x
    x = 5,214,244,374,784/1,058,102
  6. Step 6: Final answer
    x = 4,927,922.24

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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.