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Finding the Third Proportional to 621,026 and 937,442

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Solution

The third proportional to 621,026 and 937,442 is: 1,415,073.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,026 : 937,442 = 937,442 : x
  2. Step 2: Convert to fraction form
    621,026/937,442 = 937,442/x
  3. Step 3: Cross multiply
    621,026x = 937,442 × 937,442
  4. Step 4: Simplify right side
    621,026x = 878,797,503,364
  5. Step 5: Solve for x
    x = 878,797,503,364/621,026
  6. Step 6: Final answer
    x = 1,415,073.61

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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.