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Finding the Third Proportional to 543,826.13 and 1,166,382

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Solution

The third proportional to 543,826.13 and 1,166,382 is: 2,501,621.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    543,826.13 : 1,166,382 = 1,166,382 : x
  2. Step 2: Convert to fraction form
    543,826.13/1,166,382 = 1,166,382/x
  3. Step 3: Cross multiply
    543,826.13x = 1,166,382 × 1,166,382
  4. Step 4: Simplify right side
    543,826.13x = 1,360,446,969,924
  5. Step 5: Solve for x
    x = 1,360,446,969,924/543,826.13
  6. Step 6: Final answer
    x = 2,501,621.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.