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Finding the Third Proportional to 621,476 and 940,614

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Solution

The third proportional to 621,476 and 940,614 is: 1,423,634.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,476 : 940,614 = 940,614 : x
  2. Step 2: Convert to fraction form
    621,476/940,614 = 940,614/x
  3. Step 3: Cross multiply
    621,476x = 940,614 × 940,614
  4. Step 4: Simplify right side
    621,476x = 884,754,696,996
  5. Step 5: Solve for x
    x = 884,754,696,996/621,476
  6. Step 6: Final answer
    x = 1,423,634.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.