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Finding the Third Proportional to 748,037 and 1,645,519

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Solution

The third proportional to 748,037 and 1,645,519 is: 3,619,784.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,037 : 1,645,519 = 1,645,519 : x
  2. Step 2: Convert to fraction form
    748,037/1,645,519 = 1,645,519/x
  3. Step 3: Cross multiply
    748,037x = 1,645,519 × 1,645,519
  4. Step 4: Simplify right side
    748,037x = 2,707,732,779,361
  5. Step 5: Solve for x
    x = 2,707,732,779,361/748,037
  6. Step 6: Final answer
    x = 3,619,784.56

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.