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Finding the Third Proportional to 541,082 and 841,095

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Solution

The third proportional to 541,082 and 841,095 is: 1,307,455.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    541,082 : 841,095 = 841,095 : x
  2. Step 2: Convert to fraction form
    541,082/841,095 = 841,095/x
  3. Step 3: Cross multiply
    541,082x = 841,095 × 841,095
  4. Step 4: Simplify right side
    541,082x = 707,440,799,025
  5. Step 5: Solve for x
    x = 707,440,799,025/541,082
  6. Step 6: Final answer
    x = 1,307,455.80

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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.