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Finding the Third Proportional to 593,050 and 1,271,910

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Solution

The third proportional to 593,050 and 1,271,910 is: 2,727,856.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,050 : 1,271,910 = 1,271,910 : x
  2. Step 2: Convert to fraction form
    593,050/1,271,910 = 1,271,910/x
  3. Step 3: Cross multiply
    593,050x = 1,271,910 × 1,271,910
  4. Step 4: Simplify right side
    593,050x = 1,617,755,048,100
  5. Step 5: Solve for x
    x = 1,617,755,048,100/593,050
  6. Step 6: Final answer
    x = 2,727,856.08

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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.