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Finding the Third Proportional to 594,912 and 1,159,934

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Solution

The third proportional to 594,912 and 1,159,934 is: 2,261,589.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    594,912 : 1,159,934 = 1,159,934 : x
  2. Step 2: Convert to fraction form
    594,912/1,159,934 = 1,159,934/x
  3. Step 3: Cross multiply
    594,912x = 1,159,934 × 1,159,934
  4. Step 4: Simplify right side
    594,912x = 1,345,446,884,356
  5. Step 5: Solve for x
    x = 1,345,446,884,356/594,912
  6. Step 6: Final answer
    x = 2,261,589.76

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.