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Finding the Third Proportional to 571,808 and 1,243,215

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Solution

The third proportional to 571,808 and 1,243,215 is: 2,702,976.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,808 : 1,243,215 = 1,243,215 : x
  2. Step 2: Convert to fraction form
    571,808/1,243,215 = 1,243,215/x
  3. Step 3: Cross multiply
    571,808x = 1,243,215 × 1,243,215
  4. Step 4: Simplify right side
    571,808x = 1,545,583,536,225
  5. Step 5: Solve for x
    x = 1,545,583,536,225/571,808
  6. Step 6: Final answer
    x = 2,702,976.41

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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.