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Finding the Third Proportional to 654,726 and 1,409,568

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Solution

The third proportional to 654,726 and 1,409,568 is: 3,034,677.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,726 : 1,409,568 = 1,409,568 : x
  2. Step 2: Convert to fraction form
    654,726/1,409,568 = 1,409,568/x
  3. Step 3: Cross multiply
    654,726x = 1,409,568 × 1,409,568
  4. Step 4: Simplify right side
    654,726x = 1,986,881,946,624
  5. Step 5: Solve for x
    x = 1,986,881,946,624/654,726
  6. Step 6: Final answer
    x = 3,034,677.02

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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.