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Finding the Third Proportional to 634,002 and 940,518

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Solution

The third proportional to 634,002 and 940,518 is: 1,395,222.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,002 : 940,518 = 940,518 : x
  2. Step 2: Convert to fraction form
    634,002/940,518 = 940,518/x
  3. Step 3: Cross multiply
    634,002x = 940,518 × 940,518
  4. Step 4: Simplify right side
    634,002x = 884,574,108,324
  5. Step 5: Solve for x
    x = 884,574,108,324/634,002
  6. Step 6: Final answer
    x = 1,395,222.90

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.