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Finding the Third Proportional to 963,033.75 and 1,441,543.50

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Solution

The third proportional to 963,033.75 and 1,441,543.50 is: 2,157,813.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    963,033.75 : 1,441,543.50 = 1,441,543.50 : x
  2. Step 2: Convert to fraction form
    963,033.75/1,441,543.50 = 1,441,543.50/x
  3. Step 3: Cross multiply
    963,033.75x = 1,441,543.50 × 1,441,543.50
  4. Step 4: Simplify right side
    963,033.75x = 2,078,047,662,392.25
  5. Step 5: Solve for x
    x = 2,078,047,662,392.25/963,033.75
  6. Step 6: Final answer
    x = 2,157,813.95

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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.