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Finding the Third Proportional to 784,673.50 and 1,212,504

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Solution

The third proportional to 784,673.50 and 1,212,504 is: 1,873,602.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,673.50 : 1,212,504 = 1,212,504 : x
  2. Step 2: Convert to fraction form
    784,673.50/1,212,504 = 1,212,504/x
  3. Step 3: Cross multiply
    784,673.50x = 1,212,504 × 1,212,504
  4. Step 4: Simplify right side
    784,673.50x = 1,470,165,950,016
  5. Step 5: Solve for x
    x = 1,470,165,950,016/784,673.50
  6. Step 6: Final answer
    x = 1,873,602.14

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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.