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Finding the Third Proportional to 633,597 and 1,319,616

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Solution

The third proportional to 633,597 and 1,319,616 is: 2,748,413.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,597 : 1,319,616 = 1,319,616 : x
  2. Step 2: Convert to fraction form
    633,597/1,319,616 = 1,319,616/x
  3. Step 3: Cross multiply
    633,597x = 1,319,616 × 1,319,616
  4. Step 4: Simplify right side
    633,597x = 1,741,386,387,456
  5. Step 5: Solve for x
    x = 1,741,386,387,456/633,597
  6. Step 6: Final answer
    x = 2,748,413.25

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.