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Finding the Third Proportional to 505,870.03 and 1,083,854.72

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Solution

The third proportional to 505,870.03 and 1,083,854.72 is: 2,322,219.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,870.03 : 1,083,854.72 = 1,083,854.72 : x
  2. Step 2: Convert to fraction form
    505,870.03/1,083,854.72 = 1,083,854.72/x
  3. Step 3: Cross multiply
    505,870.03x = 1,083,854.72 × 1,083,854.72
  4. Step 4: Simplify right side
    505,870.03x = 1,174,741,051,356.64
  5. Step 5: Solve for x
    x = 1,174,741,051,356.64/505,870.03
  6. Step 6: Final answer
    x = 2,322,219.11

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.