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Finding the Third Proportional to 830,745 and 1,787,850

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Solution

The third proportional to 830,745 and 1,787,850 is: 3,847,639.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,745 : 1,787,850 = 1,787,850 : x
  2. Step 2: Convert to fraction form
    830,745/1,787,850 = 1,787,850/x
  3. Step 3: Cross multiply
    830,745x = 1,787,850 × 1,787,850
  4. Step 4: Simplify right side
    830,745x = 3,196,407,622,500
  5. Step 5: Solve for x
    x = 3,196,407,622,500/830,745
  6. Step 6: Final answer
    x = 3,847,639.92

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.