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Finding the Third Proportional to 925,566 and 1,398,211

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Solution

The third proportional to 925,566 and 1,398,211 is: 2,112,214.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    925,566 : 1,398,211 = 1,398,211 : x
  2. Step 2: Convert to fraction form
    925,566/1,398,211 = 1,398,211/x
  3. Step 3: Cross multiply
    925,566x = 1,398,211 × 1,398,211
  4. Step 4: Simplify right side
    925,566x = 1,954,994,000,521
  5. Step 5: Solve for x
    x = 1,954,994,000,521/925,566
  6. Step 6: Final answer
    x = 2,112,214.58

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.