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Finding the Third Proportional to 530,586 and 1,092,276

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Solution

The third proportional to 530,586 and 1,092,276 is: 2,248,583.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    530,586 : 1,092,276 = 1,092,276 : x
  2. Step 2: Convert to fraction form
    530,586/1,092,276 = 1,092,276/x
  3. Step 3: Cross multiply
    530,586x = 1,092,276 × 1,092,276
  4. Step 4: Simplify right side
    530,586x = 1,193,066,860,176
  5. Step 5: Solve for x
    x = 1,193,066,860,176/530,586
  6. Step 6: Final answer
    x = 2,248,583.38

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.