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Finding the Third Proportional to 3,214,719 and 4,863,406.50

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Solution

The third proportional to 3,214,719 and 4,863,406.50 is: 7,357,633.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,214,719 : 4,863,406.50 = 4,863,406.50 : x
  2. Step 2: Convert to fraction form
    3,214,719/4,863,406.50 = 4,863,406.50/x
  3. Step 3: Cross multiply
    3,214,719x = 4,863,406.50 × 4,863,406.50
  4. Step 4: Simplify right side
    3,214,719x = 23,652,722,784,242.25
  5. Step 5: Solve for x
    x = 23,652,722,784,242.25/3,214,719
  6. Step 6: Final answer
    x = 7,357,633.06

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.