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Finding the Third Proportional to 541,154 and 841,197

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Solution

The third proportional to 541,154 and 841,197 is: 1,307,598.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,154 : 841,197 = 841,197 : x
  2. Step 2: Convert to fraction form
    541,154/841,197 = 841,197/x
  3. Step 3: Cross multiply
    541,154x = 841,197 × 841,197
  4. Step 4: Simplify right side
    541,154x = 707,612,392,809
  5. Step 5: Solve for x
    x = 707,612,392,809/541,154
  6. Step 6: Final answer
    x = 1,307,598.93

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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.