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Finding the Third Proportional to 798,560 and 1,747,168

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Solution

The third proportional to 798,560 and 1,747,168 is: 3,822,625.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    798,560 : 1,747,168 = 1,747,168 : x
  2. Step 2: Convert to fraction form
    798,560/1,747,168 = 1,747,168/x
  3. Step 3: Cross multiply
    798,560x = 1,747,168 × 1,747,168
  4. Step 4: Simplify right side
    798,560x = 3,052,596,020,224
  5. Step 5: Solve for x
    x = 3,052,596,020,224/798,560
  6. Step 6: Final answer
    x = 3,822,625.75

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.