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Finding the Third Proportional to 1,458,916 and 3,142,546

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Solution

The third proportional to 1,458,916 and 3,142,546 is: 6,769,132.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,458,916 : 3,142,546 = 3,142,546 : x
  2. Step 2: Convert to fraction form
    1,458,916/3,142,546 = 3,142,546/x
  3. Step 3: Cross multiply
    1,458,916x = 3,142,546 × 3,142,546
  4. Step 4: Simplify right side
    1,458,916x = 9,875,595,362,116
  5. Step 5: Solve for x
    x = 9,875,595,362,116/1,458,916
  6. Step 6: Final answer
    x = 6,769,132.26

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.