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Finding the Third Proportional to 641,871 and 993,357

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Solution

The third proportional to 641,871 and 993,357 is: 1,537,315.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,871 : 993,357 = 993,357 : x
  2. Step 2: Convert to fraction form
    641,871/993,357 = 993,357/x
  3. Step 3: Cross multiply
    641,871x = 993,357 × 993,357
  4. Step 4: Simplify right side
    641,871x = 986,758,129,449
  5. Step 5: Solve for x
    x = 986,758,129,449/641,871
  6. Step 6: Final answer
    x = 1,537,315.33

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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.