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Finding the Third Proportional to 503,825 and 1,064,524

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Solution

The third proportional to 503,825 and 1,064,524 is: 2,249,216.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,825 : 1,064,524 = 1,064,524 : x
  2. Step 2: Convert to fraction form
    503,825/1,064,524 = 1,064,524/x
  3. Step 3: Cross multiply
    503,825x = 1,064,524 × 1,064,524
  4. Step 4: Simplify right side
    503,825x = 1,133,211,346,576
  5. Step 5: Solve for x
    x = 1,133,211,346,576/503,825
  6. Step 6: Final answer
    x = 2,249,216.19

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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.