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Finding the Third Proportional to 946,619 and 2,037,580

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Solution

The third proportional to 946,619 and 2,037,580 is: 4,385,853.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,619 : 2,037,580 = 2,037,580 : x
  2. Step 2: Convert to fraction form
    946,619/2,037,580 = 2,037,580/x
  3. Step 3: Cross multiply
    946,619x = 2,037,580 × 2,037,580
  4. Step 4: Simplify right side
    946,619x = 4,151,732,256,400
  5. Step 5: Solve for x
    x = 4,151,732,256,400/946,619
  6. Step 6: Final answer
    x = 4,385,853.50

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.