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Finding the Third Proportional to 748,038 and 1,645,521

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Solution

The third proportional to 748,038 and 1,645,521 is: 3,619,788.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,038 : 1,645,521 = 1,645,521 : x
  2. Step 2: Convert to fraction form
    748,038/1,645,521 = 1,645,521/x
  3. Step 3: Cross multiply
    748,038x = 1,645,521 × 1,645,521
  4. Step 4: Simplify right side
    748,038x = 2,707,739,361,441
  5. Step 5: Solve for x
    x = 2,707,739,361,441/748,038
  6. Step 6: Final answer
    x = 3,619,788.52

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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.