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Finding the Third Proportional to 784,066.50 and 1,104,165

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Solution

The third proportional to 784,066.50 and 1,104,165 is: 1,554,945.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,066.50 : 1,104,165 = 1,104,165 : x
  2. Step 2: Convert to fraction form
    784,066.50/1,104,165 = 1,104,165/x
  3. Step 3: Cross multiply
    784,066.50x = 1,104,165 × 1,104,165
  4. Step 4: Simplify right side
    784,066.50x = 1,219,180,347,225
  5. Step 5: Solve for x
    x = 1,219,180,347,225/784,066.50
  6. Step 6: Final answer
    x = 1,554,945.08

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.