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Finding the Third Proportional to 612,934 and 1,299,586

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Solution

The third proportional to 612,934 and 1,299,586 is: 2,755,474.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,934 : 1,299,586 = 1,299,586 : x
  2. Step 2: Convert to fraction form
    612,934/1,299,586 = 1,299,586/x
  3. Step 3: Cross multiply
    612,934x = 1,299,586 × 1,299,586
  4. Step 4: Simplify right side
    612,934x = 1,688,923,771,396
  5. Step 5: Solve for x
    x = 1,688,923,771,396/612,934
  6. Step 6: Final answer
    x = 2,755,474.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.