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Finding the Third Proportional to 899,864 and 1,265,596

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Solution

The third proportional to 899,864 and 1,265,596 is: 1,779,972.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,864 : 1,265,596 = 1,265,596 : x
  2. Step 2: Convert to fraction form
    899,864/1,265,596 = 1,265,596/x
  3. Step 3: Cross multiply
    899,864x = 1,265,596 × 1,265,596
  4. Step 4: Simplify right side
    899,864x = 1,601,733,235,216
  5. Step 5: Solve for x
    x = 1,601,733,235,216/899,864
  6. Step 6: Final answer
    x = 1,779,972.57

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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.