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Finding the Third Proportional to 541,097 and 841,118

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Solution

The third proportional to 541,097 and 841,118 is: 1,307,491.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,097 : 841,118 = 841,118 : x
  2. Step 2: Convert to fraction form
    541,097/841,118 = 841,118/x
  3. Step 3: Cross multiply
    541,097x = 841,118 × 841,118
  4. Step 4: Simplify right side
    541,097x = 707,479,489,924
  5. Step 5: Solve for x
    x = 707,479,489,924/541,097
  6. Step 6: Final answer
    x = 1,307,491.06

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.