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Finding the Third Proportional to 828,895.50 and 1,745,820

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Solution

The third proportional to 828,895.50 and 1,745,820 is: 3,677,046.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,895.50 : 1,745,820 = 1,745,820 : x
  2. Step 2: Convert to fraction form
    828,895.50/1,745,820 = 1,745,820/x
  3. Step 3: Cross multiply
    828,895.50x = 1,745,820 × 1,745,820
  4. Step 4: Simplify right side
    828,895.50x = 3,047,887,472,400
  5. Step 5: Solve for x
    x = 3,047,887,472,400/828,895.50
  6. Step 6: Final answer
    x = 3,677,046.71

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.