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Finding the Third Proportional to 596,094 and 1,291,638

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Solution

The third proportional to 596,094 and 1,291,638 is: 2,798,767.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    596,094 : 1,291,638 = 1,291,638 : x
  2. Step 2: Convert to fraction form
    596,094/1,291,638 = 1,291,638/x
  3. Step 3: Cross multiply
    596,094x = 1,291,638 × 1,291,638
  4. Step 4: Simplify right side
    596,094x = 1,668,328,723,044
  5. Step 5: Solve for x
    x = 1,668,328,723,044/596,094
  6. Step 6: Final answer
    x = 2,798,767.85

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.