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Finding the Third Proportional to 1,271,428 and 2,694,488

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Solution

The third proportional to 1,271,428 and 2,694,488 is: 5,710,323.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,428 : 2,694,488 = 2,694,488 : x
  2. Step 2: Convert to fraction form
    1,271,428/2,694,488 = 2,694,488/x
  3. Step 3: Cross multiply
    1,271,428x = 2,694,488 × 2,694,488
  4. Step 4: Simplify right side
    1,271,428x = 7,260,265,582,144
  5. Step 5: Solve for x
    x = 7,260,265,582,144/1,271,428
  6. Step 6: Final answer
    x = 5,710,323.81

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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.