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Finding the Third Proportional to 786,970.69 and 2,082,813.75

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Solution

The third proportional to 786,970.69 and 2,082,813.75 is: 5,512,420.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,970.69 : 2,082,813.75 = 2,082,813.75 : x
  2. Step 2: Convert to fraction form
    786,970.69/2,082,813.75 = 2,082,813.75/x
  3. Step 3: Cross multiply
    786,970.69x = 2,082,813.75 × 2,082,813.75
  4. Step 4: Simplify right side
    786,970.69x = 4,338,113,117,189.06
  5. Step 5: Solve for x
    x = 4,338,113,117,189.06/786,970.69
  6. Step 6: Final answer
    x = 5,512,420.20

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Why These Related Problems?

These problems maintain the same ratio (2.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.