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Finding the Third Proportional to 1,590,699 and 2,409,219

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Solution

The third proportional to 1,590,699 and 2,409,219 is: 3,648,921.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,699 : 2,409,219 = 2,409,219 : x
  2. Step 2: Convert to fraction form
    1,590,699/2,409,219 = 2,409,219/x
  3. Step 3: Cross multiply
    1,590,699x = 2,409,219 × 2,409,219
  4. Step 4: Simplify right side
    1,590,699x = 5,804,336,189,961
  5. Step 5: Solve for x
    x = 5,804,336,189,961/1,590,699
  6. Step 6: Final answer
    x = 3,648,921.76

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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.