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Finding the Third Proportional to 793,580 and 1,134,367.50

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Solution

The third proportional to 793,580 and 1,134,367.50 is: 1,621,499.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    793,580 : 1,134,367.50 = 1,134,367.50 : x
  2. Step 2: Convert to fraction form
    793,580/1,134,367.50 = 1,134,367.50/x
  3. Step 3: Cross multiply
    793,580x = 1,134,367.50 × 1,134,367.50
  4. Step 4: Simplify right side
    793,580x = 1,286,789,625,056.25
  5. Step 5: Solve for x
    x = 1,286,789,625,056.25/793,580
  6. Step 6: Final answer
    x = 1,621,499.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.