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Finding the Third Proportional to 962,901 and 1,490,211

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Solution

The third proportional to 962,901 and 1,490,211 is: 2,306,289.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    962,901 : 1,490,211 = 1,490,211 : x
  2. Step 2: Convert to fraction form
    962,901/1,490,211 = 1,490,211/x
  3. Step 3: Cross multiply
    962,901x = 1,490,211 × 1,490,211
  4. Step 4: Simplify right side
    962,901x = 2,220,728,824,521
  5. Step 5: Solve for x
    x = 2,220,728,824,521/962,901
  6. Step 6: Final answer
    x = 2,306,289.87

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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.