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Finding the Third Proportional to 593,049 and 1,271,905

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Solution

The third proportional to 593,049 and 1,271,905 is: 2,727,839.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,049 : 1,271,905 = 1,271,905 : x
  2. Step 2: Convert to fraction form
    593,049/1,271,905 = 1,271,905/x
  3. Step 3: Cross multiply
    593,049x = 1,271,905 × 1,271,905
  4. Step 4: Simplify right side
    593,049x = 1,617,742,329,025
  5. Step 5: Solve for x
    x = 1,617,742,329,025/593,049
  6. Step 6: Final answer
    x = 2,727,839.23

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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.