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Finding the Third Proportional to 748,305 and 1,641,486

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Solution

The third proportional to 748,305 and 1,641,486 is: 3,600,772.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,305 : 1,641,486 = 1,641,486 : x
  2. Step 2: Convert to fraction form
    748,305/1,641,486 = 1,641,486/x
  3. Step 3: Cross multiply
    748,305x = 1,641,486 × 1,641,486
  4. Step 4: Simplify right side
    748,305x = 2,694,476,288,196
  5. Step 5: Solve for x
    x = 2,694,476,288,196/748,305
  6. Step 6: Final answer
    x = 3,600,772.80

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.