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Finding the Third Proportional to 783,048 and 1,709,908.50

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Solution

The third proportional to 783,048 and 1,709,908.50 is: 3,733,854.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    783,048 : 1,709,908.50 = 1,709,908.50 : x
  2. Step 2: Convert to fraction form
    783,048/1,709,908.50 = 1,709,908.50/x
  3. Step 3: Cross multiply
    783,048x = 1,709,908.50 × 1,709,908.50
  4. Step 4: Simplify right side
    783,048x = 2,923,787,078,372.25
  5. Step 5: Solve for x
    x = 2,923,787,078,372.25/783,048
  6. Step 6: Final answer
    x = 3,733,854.22

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.