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Finding the Third Proportional to 605,490 and 937,537

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Solution

The third proportional to 605,490 and 937,537 is: 1,451,676.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,490 : 937,537 = 937,537 : x
  2. Step 2: Convert to fraction form
    605,490/937,537 = 937,537/x
  3. Step 3: Cross multiply
    605,490x = 937,537 × 937,537
  4. Step 4: Simplify right side
    605,490x = 878,975,626,369
  5. Step 5: Solve for x
    x = 878,975,626,369/605,490
  6. Step 6: Final answer
    x = 1,451,676.54

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.