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Finding the Third Proportional to 624,408 and 1,343,586

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Solution

The third proportional to 624,408 and 1,343,586 is: 2,891,095.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    624,408 : 1,343,586 = 1,343,586 : x
  2. Step 2: Convert to fraction form
    624,408/1,343,586 = 1,343,586/x
  3. Step 3: Cross multiply
    624,408x = 1,343,586 × 1,343,586
  4. Step 4: Simplify right side
    624,408x = 1,805,223,339,396
  5. Step 5: Solve for x
    x = 1,805,223,339,396/624,408
  6. Step 6: Final answer
    x = 2,891,095.79

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.