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Finding the Third Proportional to 905,339 and 1,358,117

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Solution

The third proportional to 905,339 and 1,358,117 is: 2,037,338.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    905,339 : 1,358,117 = 1,358,117 : x
  2. Step 2: Convert to fraction form
    905,339/1,358,117 = 1,358,117/x
  3. Step 3: Cross multiply
    905,339x = 1,358,117 × 1,358,117
  4. Step 4: Simplify right side
    905,339x = 1,844,481,785,689
  5. Step 5: Solve for x
    x = 1,844,481,785,689/905,339
  6. Step 6: Final answer
    x = 2,037,338.26

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.