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Finding the Third Proportional to 914,016.94 and 1,980,577.13

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Solution

The third proportional to 914,016.94 and 1,980,577.13 is: 4,291,699.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    914,016.94 : 1,980,577.13 = 1,980,577.13 : x
  2. Step 2: Convert to fraction form
    914,016.94/1,980,577.13 = 1,980,577.13/x
  3. Step 3: Cross multiply
    914,016.94x = 1,980,577.13 × 1,980,577.13
  4. Step 4: Simplify right side
    914,016.94x = 3,922,685,748,073.27
  5. Step 5: Solve for x
    x = 3,922,685,748,073.27/914,016.94
  6. Step 6: Final answer
    x = 4,291,699.19

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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.