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Finding the Third Proportional to 1,271,889 and 2,695,410

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Solution

The third proportional to 1,271,889 and 2,695,410 is: 5,712,161.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,889 : 2,695,410 = 2,695,410 : x
  2. Step 2: Convert to fraction form
    1,271,889/2,695,410 = 2,695,410/x
  3. Step 3: Cross multiply
    1,271,889x = 2,695,410 × 2,695,410
  4. Step 4: Simplify right side
    1,271,889x = 7,265,235,068,100
  5. Step 5: Solve for x
    x = 7,265,235,068,100/1,271,889
  6. Step 6: Final answer
    x = 5,712,161.26

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