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Finding the Third Proportional to 635,498 and 983,101

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Solution

The third proportional to 635,498 and 983,101 is: 1,520,834.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,498 : 983,101 = 983,101 : x
  2. Step 2: Convert to fraction form
    635,498/983,101 = 983,101/x
  3. Step 3: Cross multiply
    635,498x = 983,101 × 983,101
  4. Step 4: Simplify right side
    635,498x = 966,487,576,201
  5. Step 5: Solve for x
    x = 966,487,576,201/635,498
  6. Step 6: Final answer
    x = 1,520,834.96

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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.