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Finding the Third Proportional to 3,422,201 and 4,784,731

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Solution

The third proportional to 3,422,201 and 4,784,731 is: 6,689,744.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,422,201 : 4,784,731 = 4,784,731 : x
  2. Step 2: Convert to fraction form
    3,422,201/4,784,731 = 4,784,731/x
  3. Step 3: Cross multiply
    3,422,201x = 4,784,731 × 4,784,731
  4. Step 4: Simplify right side
    3,422,201x = 22,893,650,742,361
  5. Step 5: Solve for x
    x = 22,893,650,742,361/3,422,201
  6. Step 6: Final answer
    x = 6,689,744.62

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.