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Finding the Third Proportional to 622,994 and 946,803

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Solution

The third proportional to 622,994 and 946,803 is: 1,438,915.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    622,994 : 946,803 = 946,803 : x
  2. Step 2: Convert to fraction form
    622,994/946,803 = 946,803/x
  3. Step 3: Cross multiply
    622,994x = 946,803 × 946,803
  4. Step 4: Simplify right side
    622,994x = 896,435,920,809
  5. Step 5: Solve for x
    x = 896,435,920,809/622,994
  6. Step 6: Final answer
    x = 1,438,915.82

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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.