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Finding the Third Proportional to 621,433 and 1,361,434

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Solution

The third proportional to 621,433 and 1,361,434 is: 2,982,626.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,433 : 1,361,434 = 1,361,434 : x
  2. Step 2: Convert to fraction form
    621,433/1,361,434 = 1,361,434/x
  3. Step 3: Cross multiply
    621,433x = 1,361,434 × 1,361,434
  4. Step 4: Simplify right side
    621,433x = 1,853,502,536,356
  5. Step 5: Solve for x
    x = 1,853,502,536,356/621,433
  6. Step 6: Final answer
    x = 2,982,626.50

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.