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Finding the Third Proportional to 2,032,735.50 and 2,972,700

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Solution

The third proportional to 2,032,735.50 and 2,972,700 is: 4,347,316.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,032,735.50 : 2,972,700 = 2,972,700 : x
  2. Step 2: Convert to fraction form
    2,032,735.50/2,972,700 = 2,972,700/x
  3. Step 3: Cross multiply
    2,032,735.50x = 2,972,700 × 2,972,700
  4. Step 4: Simplify right side
    2,032,735.50x = 8,836,945,290,000
  5. Step 5: Solve for x
    x = 8,836,945,290,000/2,032,735.50
  6. Step 6: Final answer
    x = 4,347,316.85

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.