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Finding the Third Proportional to 1,736,137 and 3,808,437.50

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Solution

The third proportional to 1,736,137 and 3,808,437.50 is: 8,354,292.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,736,137 : 3,808,437.50 = 3,808,437.50 : x
  2. Step 2: Convert to fraction form
    1,736,137/3,808,437.50 = 3,808,437.50/x
  3. Step 3: Cross multiply
    1,736,137x = 3,808,437.50 × 3,808,437.50
  4. Step 4: Simplify right side
    1,736,137x = 14,504,196,191,406.25
  5. Step 5: Solve for x
    x = 14,504,196,191,406.25/1,736,137
  6. Step 6: Final answer
    x = 8,354,292.43

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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.