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Finding the Third Proportional to 935,825.50 and 1,915,903.50

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Solution

The third proportional to 935,825.50 and 1,915,903.50 is: 3,922,404.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    935,825.50 : 1,915,903.50 = 1,915,903.50 : x
  2. Step 2: Convert to fraction form
    935,825.50/1,915,903.50 = 1,915,903.50/x
  3. Step 3: Cross multiply
    935,825.50x = 1,915,903.50 × 1,915,903.50
  4. Step 4: Simplify right side
    935,825.50x = 3,670,686,221,312.25
  5. Step 5: Solve for x
    x = 3,670,686,221,312.25/935,825.50
  6. Step 6: Final answer
    x = 3,922,404.57

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.