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Finding the Third Proportional to 374,722 and 884,549

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Solution

The third proportional to 374,722 and 884,549 is: 2,088,019.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    374,722 : 884,549 = 884,549 : x
  2. Step 2: Convert to fraction form
    374,722/884,549 = 884,549/x
  3. Step 3: Cross multiply
    374,722x = 884,549 × 884,549
  4. Step 4: Simplify right side
    374,722x = 782,426,933,401
  5. Step 5: Solve for x
    x = 782,426,933,401/374,722
  6. Step 6: Final answer
    x = 2,088,019.74

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.