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Finding the Third Proportional to 601,490 and 1,252,576

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Solution

The third proportional to 601,490 and 1,252,576 is: 2,608,433.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    601,490 : 1,252,576 = 1,252,576 : x
  2. Step 2: Convert to fraction form
    601,490/1,252,576 = 1,252,576/x
  3. Step 3: Cross multiply
    601,490x = 1,252,576 × 1,252,576
  4. Step 4: Simplify right side
    601,490x = 1,568,946,635,776
  5. Step 5: Solve for x
    x = 1,568,946,635,776/601,490
  6. Step 6: Final answer
    x = 2,608,433.45

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.