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Finding the Third Proportional to 601,610 and 1,337,701

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Solution

The third proportional to 601,610 and 1,337,701 is: 2,974,425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,610 : 1,337,701 = 1,337,701 : x
  2. Step 2: Convert to fraction form
    601,610/1,337,701 = 1,337,701/x
  3. Step 3: Cross multiply
    601,610x = 1,337,701 × 1,337,701
  4. Step 4: Simplify right side
    601,610x = 1,789,443,965,401
  5. Step 5: Solve for x
    x = 1,789,443,965,401/601,610
  6. Step 6: Final answer
    x = 2,974,425.23

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.