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Finding the Third Proportional to 899,895.50 and 1,265,642

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Solution

The third proportional to 899,895.50 and 1,265,642 is: 1,780,039.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,895.50 : 1,265,642 = 1,265,642 : x
  2. Step 2: Convert to fraction form
    899,895.50/1,265,642 = 1,265,642/x
  3. Step 3: Cross multiply
    899,895.50x = 1,265,642 × 1,265,642
  4. Step 4: Simplify right side
    899,895.50x = 1,601,849,672,164
  5. Step 5: Solve for x
    x = 1,601,849,672,164/899,895.50
  6. Step 6: Final answer
    x = 1,780,039.65

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.