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Finding the Third Proportional to 571,810 and 841,083

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Solution

The third proportional to 571,810 and 841,083 is: 1,237,160.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,810 : 841,083 = 841,083 : x
  2. Step 2: Convert to fraction form
    571,810/841,083 = 841,083/x
  3. Step 3: Cross multiply
    571,810x = 841,083 × 841,083
  4. Step 4: Simplify right side
    571,810x = 707,420,612,889
  5. Step 5: Solve for x
    x = 707,420,612,889/571,810
  6. Step 6: Final answer
    x = 1,237,160.27

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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.