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Finding the Third Proportional to 389,037 and 805,074

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Solution

The third proportional to 389,037 and 805,074 is: 1,666,021.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,037 : 805,074 = 805,074 : x
  2. Step 2: Convert to fraction form
    389,037/805,074 = 805,074/x
  3. Step 3: Cross multiply
    389,037x = 805,074 × 805,074
  4. Step 4: Simplify right side
    389,037x = 648,144,145,476
  5. Step 5: Solve for x
    x = 648,144,145,476/389,037
  6. Step 6: Final answer
    x = 1,666,021.86

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.