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Finding the Third Proportional to 843,523.88 and 1,306,499.63

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Solution

The third proportional to 843,523.88 and 1,306,499.63 is: 2,023,583.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    843,523.88 : 1,306,499.63 = 1,306,499.63 : x
  2. Step 2: Convert to fraction form
    843,523.88/1,306,499.63 = 1,306,499.63/x
  3. Step 3: Cross multiply
    843,523.88x = 1,306,499.63 × 1,306,499.63
  4. Step 4: Simplify right side
    843,523.88x = 1,706,941,270,125.14
  5. Step 5: Solve for x
    x = 1,706,941,270,125.14/843,523.88
  6. Step 6: Final answer
    x = 2,023,583.83

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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.