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Finding the Third Proportional to 452,504 and 974,944

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Solution

The third proportional to 452,504 and 974,944 is: 2,100,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    452,504 : 974,944 = 974,944 : x
  2. Step 2: Convert to fraction form
    452,504/974,944 = 974,944/x
  3. Step 3: Cross multiply
    452,504x = 974,944 × 974,944
  4. Step 4: Simplify right side
    452,504x = 950,515,803,136
  5. Step 5: Solve for x
    x = 950,515,803,136/452,504
  6. Step 6: Final answer
    x = 2,100,568.84

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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.