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Finding the Third Proportional to 634,744 and 983,466

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Solution

The third proportional to 634,744 and 983,466 is: 1,523,772.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,744 : 983,466 = 983,466 : x
  2. Step 2: Convert to fraction form
    634,744/983,466 = 983,466/x
  3. Step 3: Cross multiply
    634,744x = 983,466 × 983,466
  4. Step 4: Simplify right side
    634,744x = 967,205,373,156
  5. Step 5: Solve for x
    x = 967,205,373,156/634,744
  6. Step 6: Final answer
    x = 1,523,772.38

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.