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Finding the Third Proportional to 541,122 and 841,155

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Solution

The third proportional to 541,122 and 841,155 is: 1,307,545.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,122 : 841,155 = 841,155 : x
  2. Step 2: Convert to fraction form
    541,122/841,155 = 841,155/x
  3. Step 3: Cross multiply
    541,122x = 841,155 × 841,155
  4. Step 4: Simplify right side
    541,122x = 707,541,734,025
  5. Step 5: Solve for x
    x = 707,541,734,025/541,122
  6. Step 6: Final answer
    x = 1,307,545.68

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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.