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Finding the Third Proportional to 622,986 and 946,791

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Solution

The third proportional to 622,986 and 946,791 is: 1,438,897.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,986 : 946,791 = 946,791 : x
  2. Step 2: Convert to fraction form
    622,986/946,791 = 946,791/x
  3. Step 3: Cross multiply
    622,986x = 946,791 × 946,791
  4. Step 4: Simplify right side
    622,986x = 896,413,197,681
  5. Step 5: Solve for x
    x = 896,413,197,681/622,986
  6. Step 6: Final answer
    x = 1,438,897.82

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.