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Finding the Third Proportional to 609,616 and 1,319,464

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Solution

The third proportional to 609,616 and 1,319,464 is: 2,855,871.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    609,616 : 1,319,464 = 1,319,464 : x
  2. Step 2: Convert to fraction form
    609,616/1,319,464 = 1,319,464/x
  3. Step 3: Cross multiply
    609,616x = 1,319,464 × 1,319,464
  4. Step 4: Simplify right side
    609,616x = 1,740,985,247,296
  5. Step 5: Solve for x
    x = 1,740,985,247,296/609,616
  6. Step 6: Final answer
    x = 2,855,871.97

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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.