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Finding the Third Proportional to 641,924 and 993,426

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Solution

The third proportional to 641,924 and 993,426 is: 1,537,401.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,924 : 993,426 = 993,426 : x
  2. Step 2: Convert to fraction form
    641,924/993,426 = 993,426/x
  3. Step 3: Cross multiply
    641,924x = 993,426 × 993,426
  4. Step 4: Simplify right side
    641,924x = 986,895,217,476
  5. Step 5: Solve for x
    x = 986,895,217,476/641,924
  6. Step 6: Final answer
    x = 1,537,401.96

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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.