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Finding the Third Proportional to 666,433 and 1,465,679

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Solution

The third proportional to 666,433 and 1,465,679 is: 3,223,452.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,433 : 1,465,679 = 1,465,679 : x
  2. Step 2: Convert to fraction form
    666,433/1,465,679 = 1,465,679/x
  3. Step 3: Cross multiply
    666,433x = 1,465,679 × 1,465,679
  4. Step 4: Simplify right side
    666,433x = 2,148,214,931,041
  5. Step 5: Solve for x
    x = 2,148,214,931,041/666,433
  6. Step 6: Final answer
    x = 3,223,452.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.