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Finding the Third Proportional to 503,747.16 and 1,064,352.66

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Solution

The third proportional to 503,747.16 and 1,064,352.66 is: 2,248,839.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,747.16 : 1,064,352.66 = 1,064,352.66 : x
  2. Step 2: Convert to fraction form
    503,747.16/1,064,352.66 = 1,064,352.66/x
  3. Step 3: Cross multiply
    503,747.16x = 1,064,352.66 × 1,064,352.66
  4. Step 4: Simplify right side
    503,747.16x = 1,132,846,576,866.43
  5. Step 5: Solve for x
    x = 1,132,846,576,866.43/503,747.16
  6. Step 6: Final answer
    x = 2,248,839.65

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Why These Related Problems?

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