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Finding the Third Proportional to 1,271,814 and 2,695,260

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Solution

The third proportional to 1,271,814 and 2,695,260 is: 5,711,862.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,271,814 : 2,695,260 = 2,695,260 : x
  2. Step 2: Convert to fraction form
    1,271,814/2,695,260 = 2,695,260/x
  3. Step 3: Cross multiply
    1,271,814x = 2,695,260 × 2,695,260
  4. Step 4: Simplify right side
    1,271,814x = 7,264,426,467,600
  5. Step 5: Solve for x
    x = 7,264,426,467,600/1,271,814
  6. Step 6: Final answer
    x = 5,711,862.32

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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.