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Finding the Third Proportional to 793,648 and 1,197,627.50

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Solution

The third proportional to 793,648 and 1,197,627.50 is: 1,807,239.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,648 : 1,197,627.50 = 1,197,627.50 : x
  2. Step 2: Convert to fraction form
    793,648/1,197,627.50 = 1,197,627.50/x
  3. Step 3: Cross multiply
    793,648x = 1,197,627.50 × 1,197,627.50
  4. Step 4: Simplify right side
    793,648x = 1,434,311,628,756.25
  5. Step 5: Solve for x
    x = 1,434,311,628,756.25/793,648
  6. Step 6: Final answer
    x = 1,807,239.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.