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Finding the Third Proportional to 597,811.50 and 1,290,061.50

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Solution

The third proportional to 597,811.50 and 1,290,061.50 is: 2,783,918.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    597,811.50 : 1,290,061.50 = 1,290,061.50 : x
  2. Step 2: Convert to fraction form
    597,811.50/1,290,061.50 = 1,290,061.50/x
  3. Step 3: Cross multiply
    597,811.50x = 1,290,061.50 × 1,290,061.50
  4. Step 4: Simplify right side
    597,811.50x = 1,664,258,673,782.25
  5. Step 5: Solve for x
    x = 1,664,258,673,782.25/597,811.50
  6. Step 6: Final answer
    x = 2,783,918.80

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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.