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Finding the Third Proportional to 571,840 and 841,125

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Solution

The third proportional to 571,840 and 841,125 is: 1,237,218.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,840 : 841,125 = 841,125 : x
  2. Step 2: Convert to fraction form
    571,840/841,125 = 841,125/x
  3. Step 3: Cross multiply
    571,840x = 841,125 × 841,125
  4. Step 4: Simplify right side
    571,840x = 707,491,265,625
  5. Step 5: Solve for x
    x = 707,491,265,625/571,840
  6. Step 6: Final answer
    x = 1,237,218.92

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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.