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Finding the Third Proportional to 899,863 and 1,265,595

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Solution

The third proportional to 899,863 and 1,265,595 is: 1,779,971.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    899,863 : 1,265,595 = 1,265,595 : x
  2. Step 2: Convert to fraction form
    899,863/1,265,595 = 1,265,595/x
  3. Step 3: Cross multiply
    899,863x = 1,265,595 × 1,265,595
  4. Step 4: Simplify right side
    899,863x = 1,601,730,704,025
  5. Step 5: Solve for x
    x = 1,601,730,704,025/899,863
  6. Step 6: Final answer
    x = 1,779,971.73

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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.