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Finding the Third Proportional to 1,442,265.75 and 3,113,012.25

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Solution

The third proportional to 1,442,265.75 and 3,113,012.25 is: 6,719,181.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,442,265.75 : 3,113,012.25 = 3,113,012.25 : x
  2. Step 2: Convert to fraction form
    1,442,265.75/3,113,012.25 = 3,113,012.25/x
  3. Step 3: Cross multiply
    1,442,265.75x = 3,113,012.25 × 3,113,012.25
  4. Step 4: Simplify right side
    1,442,265.75x = 9,690,845,268,650.06
  5. Step 5: Solve for x
    x = 9,690,845,268,650.06/1,442,265.75
  6. Step 6: Final answer
    x = 6,719,181.45

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.