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Finding the Third Proportional to 748,851 and 1,640,252

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Solution

The third proportional to 748,851 and 1,640,252 is: 3,592,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,851 : 1,640,252 = 1,640,252 : x
  2. Step 2: Convert to fraction form
    748,851/1,640,252 = 1,640,252/x
  3. Step 3: Cross multiply
    748,851x = 1,640,252 × 1,640,252
  4. Step 4: Simplify right side
    748,851x = 2,690,426,623,504
  5. Step 5: Solve for x
    x = 2,690,426,623,504/748,851
  6. Step 6: Final answer
    x = 3,592,739.58

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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.