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Finding the Third Proportional to 791,565.75 and 1,226,445.75

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Solution

The third proportional to 791,565.75 and 1,226,445.75 is: 1,900,245.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,565.75 : 1,226,445.75 = 1,226,445.75 : x
  2. Step 2: Convert to fraction form
    791,565.75/1,226,445.75 = 1,226,445.75/x
  3. Step 3: Cross multiply
    791,565.75x = 1,226,445.75 × 1,226,445.75
  4. Step 4: Simplify right side
    791,565.75x = 1,504,169,177,693.06
  5. Step 5: Solve for x
    x = 1,504,169,177,693.06/791,565.75
  6. Step 6: Final answer
    x = 1,900,245.40

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.