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Finding the Third Proportional to 571,828 and 841,108

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Solution

The third proportional to 571,828 and 841,108 is: 1,237,194.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,828 : 841,108 = 841,108 : x
  2. Step 2: Convert to fraction form
    571,828/841,108 = 841,108/x
  3. Step 3: Cross multiply
    571,828x = 841,108 × 841,108
  4. Step 4: Simplify right side
    571,828x = 707,462,667,664
  5. Step 5: Solve for x
    x = 707,462,667,664/571,828
  6. Step 6: Final answer
    x = 1,237,194.87

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.