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Finding the Third Proportional to 609,588 and 1,319,400

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Solution

The third proportional to 609,588 and 1,319,400 is: 2,855,726.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,588 : 1,319,400 = 1,319,400 : x
  2. Step 2: Convert to fraction form
    609,588/1,319,400 = 1,319,400/x
  3. Step 3: Cross multiply
    609,588x = 1,319,400 × 1,319,400
  4. Step 4: Simplify right side
    609,588x = 1,740,816,360,000
  5. Step 5: Solve for x
    x = 1,740,816,360,000/609,588
  6. Step 6: Final answer
    x = 2,855,726.10

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.