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Finding the Third Proportional to 828,376.50 and 1,811,841

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Solution

The third proportional to 828,376.50 and 1,811,841 is: 3,962,893.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    828,376.50 : 1,811,841 = 1,811,841 : x
  2. Step 2: Convert to fraction form
    828,376.50/1,811,841 = 1,811,841/x
  3. Step 3: Cross multiply
    828,376.50x = 1,811,841 × 1,811,841
  4. Step 4: Simplify right side
    828,376.50x = 3,282,767,809,281
  5. Step 5: Solve for x
    x = 3,282,767,809,281/828,376.50
  6. Step 6: Final answer
    x = 3,962,893.45

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Why These Related Problems?

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