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Finding the Third Proportional to 1,271,430 and 2,694,492

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Solution

The third proportional to 1,271,430 and 2,694,492 is: 5,710,331.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,430 : 2,694,492 = 2,694,492 : x
  2. Step 2: Convert to fraction form
    1,271,430/2,694,492 = 2,694,492/x
  3. Step 3: Cross multiply
    1,271,430x = 2,694,492 × 2,694,492
  4. Step 4: Simplify right side
    1,271,430x = 7,260,287,138,064
  5. Step 5: Solve for x
    x = 7,260,287,138,064/1,271,430
  6. Step 6: Final answer
    x = 5,710,331.78

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.