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Finding the Third Proportional to 1,735,273.13 and 3,736,995.75

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Solution

The third proportional to 1,735,273.13 and 3,736,995.75 is: 8,047,803.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,735,273.13 : 3,736,995.75 = 3,736,995.75 : x
  2. Step 2: Convert to fraction form
    1,735,273.13/3,736,995.75 = 3,736,995.75/x
  3. Step 3: Cross multiply
    1,735,273.13x = 3,736,995.75 × 3,736,995.75
  4. Step 4: Simplify right side
    1,735,273.13x = 13,965,137,235,518.06
  5. Step 5: Solve for x
    x = 13,965,137,235,518.06/1,735,273.13
  6. Step 6: Final answer
    x = 8,047,803.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.