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Finding the Third Proportional to 773,199.50 and 1,666,146.50

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Solution

The third proportional to 773,199.50 and 1,666,146.50 is: 3,590,333.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    773,199.50 : 1,666,146.50 = 1,666,146.50 : x
  2. Step 2: Convert to fraction form
    773,199.50/1,666,146.50 = 1,666,146.50/x
  3. Step 3: Cross multiply
    773,199.50x = 1,666,146.50 × 1,666,146.50
  4. Step 4: Simplify right side
    773,199.50x = 2,776,044,159,462.25
  5. Step 5: Solve for x
    x = 2,776,044,159,462.25/773,199.50
  6. Step 6: Final answer
    x = 3,590,333.62

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.