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Finding the Third Proportional to 641,953 and 993,498

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Solution

The third proportional to 641,953 and 993,498 is: 1,537,555.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,953 : 993,498 = 993,498 : x
  2. Step 2: Convert to fraction form
    641,953/993,498 = 993,498/x
  3. Step 3: Cross multiply
    641,953x = 993,498 × 993,498
  4. Step 4: Simplify right side
    641,953x = 987,038,276,004
  5. Step 5: Solve for x
    x = 987,038,276,004/641,953
  6. Step 6: Final answer
    x = 1,537,555.36

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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.