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Finding the Third Proportional to 771,452 and 1,580,488

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Solution

The third proportional to 771,452 and 1,580,488 is: 3,237,975.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    771,452 : 1,580,488 = 1,580,488 : x
  2. Step 2: Convert to fraction form
    771,452/1,580,488 = 1,580,488/x
  3. Step 3: Cross multiply
    771,452x = 1,580,488 × 1,580,488
  4. Step 4: Simplify right side
    771,452x = 2,497,942,318,144
  5. Step 5: Solve for x
    x = 2,497,942,318,144/771,452
  6. Step 6: Final answer
    x = 3,237,975.04

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.