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Finding the Third Proportional to 3,820,241.81 and 5,779,577.81

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Solution

The third proportional to 3,820,241.81 and 5,779,577.81 is: 8,743,823.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820,241.81 : 5,779,577.81 = 5,779,577.81 : x
  2. Step 2: Convert to fraction form
    3,820,241.81/5,779,577.81 = 5,779,577.81/x
  3. Step 3: Cross multiply
    3,820,241.81x = 5,779,577.81 × 5,779,577.81
  4. Step 4: Simplify right side
    3,820,241.81x = 33,403,519,690,742.29
  5. Step 5: Solve for x
    x = 33,403,519,690,742.29/3,820,241.81
  6. Step 6: Final answer
    x = 8,743,823.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.