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Finding the Third Proportional to 503,523 and 1,095,586

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Solution

The third proportional to 503,523 and 1,095,586 is: 2,383,820.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    503,523 : 1,095,586 = 1,095,586 : x
  2. Step 2: Convert to fraction form
    503,523/1,095,586 = 1,095,586/x
  3. Step 3: Cross multiply
    503,523x = 1,095,586 × 1,095,586
  4. Step 4: Simplify right side
    503,523x = 1,200,308,683,396
  5. Step 5: Solve for x
    x = 1,200,308,683,396/503,523
  6. Step 6: Final answer
    x = 2,383,820.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.