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Finding the Third Proportional to 1,183,759 and 2,566,710

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Solution

The third proportional to 1,183,759 and 2,566,710 is: 5,565,322.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,183,759 : 2,566,710 = 2,566,710 : x
  2. Step 2: Convert to fraction form
    1,183,759/2,566,710 = 2,566,710/x
  3. Step 3: Cross multiply
    1,183,759x = 2,566,710 × 2,566,710
  4. Step 4: Simplify right side
    1,183,759x = 6,588,000,224,100
  5. Step 5: Solve for x
    x = 6,588,000,224,100/1,183,759
  6. Step 6: Final answer
    x = 5,565,322.18

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.