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Finding the Third Proportional to 784,683.75 and 1,182,797

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Solution

The third proportional to 784,683.75 and 1,182,797 is: 1,782,895.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    784,683.75 : 1,182,797 = 1,182,797 : x
  2. Step 2: Convert to fraction form
    784,683.75/1,182,797 = 1,182,797/x
  3. Step 3: Cross multiply
    784,683.75x = 1,182,797 × 1,182,797
  4. Step 4: Simplify right side
    784,683.75x = 1,399,008,743,209
  5. Step 5: Solve for x
    x = 1,399,008,743,209/784,683.75
  6. Step 6: Final answer
    x = 1,782,895.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.