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Finding the Third Proportional to 965,799 and 1,311,682.50

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Solution

The third proportional to 965,799 and 1,311,682.50 is: 1,781,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    965,799 : 1,311,682.50 = 1,311,682.50 : x
  2. Step 2: Convert to fraction form
    965,799/1,311,682.50 = 1,311,682.50/x
  3. Step 3: Cross multiply
    965,799x = 1,311,682.50 × 1,311,682.50
  4. Step 4: Simplify right side
    965,799x = 1,720,510,980,806.25
  5. Step 5: Solve for x
    x = 1,720,510,980,806.25/965,799
  6. Step 6: Final answer
    x = 1,781,437.94

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.