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Finding the Third Proportional to 503,823 and 1,064,520

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Solution

The third proportional to 503,823 and 1,064,520 is: 2,249,208.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,823 : 1,064,520 = 1,064,520 : x
  2. Step 2: Convert to fraction form
    503,823/1,064,520 = 1,064,520/x
  3. Step 3: Cross multiply
    503,823x = 1,064,520 × 1,064,520
  4. Step 4: Simplify right side
    503,823x = 1,133,202,830,400
  5. Step 5: Solve for x
    x = 1,133,202,830,400/503,823
  6. Step 6: Final answer
    x = 2,249,208.21

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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.