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Finding the Third Proportional to 1,402,618.50 and 3,067,676.50

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Solution

The third proportional to 1,402,618.50 and 3,067,676.50 is: 6,709,336.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,402,618.50 : 3,067,676.50 = 3,067,676.50 : x
  2. Step 2: Convert to fraction form
    1,402,618.50/3,067,676.50 = 3,067,676.50/x
  3. Step 3: Cross multiply
    1,402,618.50x = 3,067,676.50 × 3,067,676.50
  4. Step 4: Simplify right side
    1,402,618.50x = 9,410,639,108,652.25
  5. Step 5: Solve for x
    x = 9,410,639,108,652.25/1,402,618.50
  6. Step 6: Final answer
    x = 6,709,336.22

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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.