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Finding the Third Proportional to 743,769 and 1,526,742

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Solution

The third proportional to 743,769 and 1,526,742 is: 3,133,958.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,769 : 1,526,742 = 1,526,742 : x
  2. Step 2: Convert to fraction form
    743,769/1,526,742 = 1,526,742/x
  3. Step 3: Cross multiply
    743,769x = 1,526,742 × 1,526,742
  4. Step 4: Simplify right side
    743,769x = 2,330,941,134,564
  5. Step 5: Solve for x
    x = 2,330,941,134,564/743,769
  6. Step 6: Final answer
    x = 3,133,958.44

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.