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Finding the Third Proportional to 571,836 and 841,116

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Solution

The third proportional to 571,836 and 841,116 is: 1,237,201.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,836 : 841,116 = 841,116 : x
  2. Step 2: Convert to fraction form
    571,836/841,116 = 841,116/x
  3. Step 3: Cross multiply
    571,836x = 841,116 × 841,116
  4. Step 4: Simplify right side
    571,836x = 707,476,125,456
  5. Step 5: Solve for x
    x = 707,476,125,456/571,836
  6. Step 6: Final answer
    x = 1,237,201.10

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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.