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Finding the Third Proportional to 492,556.50 and 1,069,184.25

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Solution

The third proportional to 492,556.50 and 1,069,184.25 is: 2,320,860.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    492,556.50 : 1,069,184.25 = 1,069,184.25 : x
  2. Step 2: Convert to fraction form
    492,556.50/1,069,184.25 = 1,069,184.25/x
  3. Step 3: Cross multiply
    492,556.50x = 1,069,184.25 × 1,069,184.25
  4. Step 4: Simplify right side
    492,556.50x = 1,143,154,960,448.06
  5. Step 5: Solve for x
    x = 1,143,154,960,448.06/492,556.50
  6. Step 6: Final answer
    x = 2,320,860.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.