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Finding the Third Proportional to 3,316,509 and 4,973,791.50

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Solution

The third proportional to 3,316,509 and 4,973,791.50 is: 7,459,229.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,316,509 : 4,973,791.50 = 4,973,791.50 : x
  2. Step 2: Convert to fraction form
    3,316,509/4,973,791.50 = 4,973,791.50/x
  3. Step 3: Cross multiply
    3,316,509x = 4,973,791.50 × 4,973,791.50
  4. Step 4: Simplify right side
    3,316,509x = 24,738,601,885,472.25
  5. Step 5: Solve for x
    x = 24,738,601,885,472.25/3,316,509
  6. Step 6: Final answer
    x = 7,459,229.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.