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Finding the Third Proportional to 962,813.50 and 1,346,005

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Solution

The third proportional to 962,813.50 and 1,346,005 is: 1,881,703.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,813.50 : 1,346,005 = 1,346,005 : x
  2. Step 2: Convert to fraction form
    962,813.50/1,346,005 = 1,346,005/x
  3. Step 3: Cross multiply
    962,813.50x = 1,346,005 × 1,346,005
  4. Step 4: Simplify right side
    962,813.50x = 1,811,729,460,025
  5. Step 5: Solve for x
    x = 1,811,729,460,025/962,813.50
  6. Step 6: Final answer
    x = 1,881,703.42

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.