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Finding the Third Proportional to 1,410,918 and 2,129,097

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Solution

The third proportional to 1,410,918 and 2,129,097 is: 3,212,840.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,410,918 : 2,129,097 = 2,129,097 : x
  2. Step 2: Convert to fraction form
    1,410,918/2,129,097 = 2,129,097/x
  3. Step 3: Cross multiply
    1,410,918x = 2,129,097 × 2,129,097
  4. Step 4: Simplify right side
    1,410,918x = 4,533,054,035,409
  5. Step 5: Solve for x
    x = 4,533,054,035,409/1,410,918
  6. Step 6: Final answer
    x = 3,212,840.18

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.