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Finding the Third Proportional to 571,814 and 1,243,228

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Solution

The third proportional to 571,814 and 1,243,228 is: 2,703,004.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,814 : 1,243,228 = 1,243,228 : x
  2. Step 2: Convert to fraction form
    571,814/1,243,228 = 1,243,228/x
  3. Step 3: Cross multiply
    571,814x = 1,243,228 × 1,243,228
  4. Step 4: Simplify right side
    571,814x = 1,545,615,859,984
  5. Step 5: Solve for x
    x = 1,545,615,859,984/571,814
  6. Step 6: Final answer
    x = 2,703,004.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.