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Finding the Third Proportional to 1,590,666 and 2,409,165

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Solution

The third proportional to 1,590,666 and 2,409,165 is: 3,648,833.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,590,666 : 2,409,165 = 2,409,165 : x
  2. Step 2: Convert to fraction form
    1,590,666/2,409,165 = 2,409,165/x
  3. Step 3: Cross multiply
    1,590,666x = 2,409,165 × 2,409,165
  4. Step 4: Simplify right side
    1,590,666x = 5,804,075,997,225
  5. Step 5: Solve for x
    x = 5,804,075,997,225/1,590,666
  6. Step 6: Final answer
    x = 3,648,833.88

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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.