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Finding the Third Proportional to 841,680 and 1,271,268

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Solution

The third proportional to 841,680 and 1,271,268 is: 1,920,114.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    841,680 : 1,271,268 = 1,271,268 : x
  2. Step 2: Convert to fraction form
    841,680/1,271,268 = 1,271,268/x
  3. Step 3: Cross multiply
    841,680x = 1,271,268 × 1,271,268
  4. Step 4: Simplify right side
    841,680x = 1,616,122,327,824
  5. Step 5: Solve for x
    x = 1,616,122,327,824/841,680
  6. Step 6: Final answer
    x = 1,920,114.92

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.