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Finding the Third Proportional to 775,982 and 1,674,292

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Solution

The third proportional to 775,982 and 1,674,292 is: 3,612,524.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,982 : 1,674,292 = 1,674,292 : x
  2. Step 2: Convert to fraction form
    775,982/1,674,292 = 1,674,292/x
  3. Step 3: Cross multiply
    775,982x = 1,674,292 × 1,674,292
  4. Step 4: Simplify right side
    775,982x = 2,803,253,701,264
  5. Step 5: Solve for x
    x = 2,803,253,701,264/775,982
  6. Step 6: Final answer
    x = 3,612,524.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.