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Finding the Third Proportional to 917,268.75 and 2,158,276.50

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Solution

The third proportional to 917,268.75 and 2,158,276.50 is: 5,078,290.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,268.75 : 2,158,276.50 = 2,158,276.50 : x
  2. Step 2: Convert to fraction form
    917,268.75/2,158,276.50 = 2,158,276.50/x
  3. Step 3: Cross multiply
    917,268.75x = 2,158,276.50 × 2,158,276.50
  4. Step 4: Simplify right side
    917,268.75x = 4,658,157,450,452.25
  5. Step 5: Solve for x
    x = 4,658,157,450,452.25/917,268.75
  6. Step 6: Final answer
    x = 5,078,290.80

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.