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Finding the Third Proportional to 705,559.50 and 1,546,222.50

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Solution

The third proportional to 705,559.50 and 1,546,222.50 is: 3,388,522.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,559.50 : 1,546,222.50 = 1,546,222.50 : x
  2. Step 2: Convert to fraction form
    705,559.50/1,546,222.50 = 1,546,222.50/x
  3. Step 3: Cross multiply
    705,559.50x = 1,546,222.50 × 1,546,222.50
  4. Step 4: Simplify right side
    705,559.50x = 2,390,804,019,506.25
  5. Step 5: Solve for x
    x = 2,390,804,019,506.25/705,559.50
  6. Step 6: Final answer
    x = 3,388,522.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.