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Finding the Third Proportional to 571,824 and 841,102

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Solution

The third proportional to 571,824 and 841,102 is: 1,237,185.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,824 : 841,102 = 841,102 : x
  2. Step 2: Convert to fraction form
    571,824/841,102 = 841,102/x
  3. Step 3: Cross multiply
    571,824x = 841,102 × 841,102
  4. Step 4: Simplify right side
    571,824x = 707,452,574,404
  5. Step 5: Solve for x
    x = 707,452,574,404/571,824
  6. Step 6: Final answer
    x = 1,237,185.87

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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.