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Finding the Third Proportional to 481,708 and 1,037,409

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Solution

The third proportional to 481,708 and 1,037,409 is: 2,234,169.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,708 : 1,037,409 = 1,037,409 : x
  2. Step 2: Convert to fraction form
    481,708/1,037,409 = 1,037,409/x
  3. Step 3: Cross multiply
    481,708x = 1,037,409 × 1,037,409
  4. Step 4: Simplify right side
    481,708x = 1,076,217,433,281
  5. Step 5: Solve for x
    x = 1,076,217,433,281/481,708
  6. Step 6: Final answer
    x = 2,234,169.73

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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.