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Finding the Third Proportional to 593,051 and 1,271,909

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Solution

The third proportional to 593,051 and 1,271,909 is: 2,727,847.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,051 : 1,271,909 = 1,271,909 : x
  2. Step 2: Convert to fraction form
    593,051/1,271,909 = 1,271,909/x
  3. Step 3: Cross multiply
    593,051x = 1,271,909 × 1,271,909
  4. Step 4: Simplify right side
    593,051x = 1,617,752,504,281
  5. Step 5: Solve for x
    x = 1,617,752,504,281/593,051
  6. Step 6: Final answer
    x = 2,727,847.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.