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Finding the Third Proportional to 571,806 and 841,077

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Solution

The third proportional to 571,806 and 841,077 is: 1,237,151.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,806 : 841,077 = 841,077 : x
  2. Step 2: Convert to fraction form
    571,806/841,077 = 841,077/x
  3. Step 3: Cross multiply
    571,806x = 841,077 × 841,077
  4. Step 4: Simplify right side
    571,806x = 707,410,519,929
  5. Step 5: Solve for x
    x = 707,410,519,929/571,806
  6. Step 6: Final answer
    x = 1,237,151.27

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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.