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Finding the Third Proportional to 938,421 and 2,009,682

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Solution

The third proportional to 938,421 and 2,009,682 is: 4,303,848.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    938,421 : 2,009,682 = 2,009,682 : x
  2. Step 2: Convert to fraction form
    938,421/2,009,682 = 2,009,682/x
  3. Step 3: Cross multiply
    938,421x = 2,009,682 × 2,009,682
  4. Step 4: Simplify right side
    938,421x = 4,038,821,741,124
  5. Step 5: Solve for x
    x = 4,038,821,741,124/938,421
  6. Step 6: Final answer
    x = 4,303,848.42

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.