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Finding the Third Proportional to 900,262 and 1,393,523

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Solution

The third proportional to 900,262 and 1,393,523 is: 2,157,045.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    900,262 : 1,393,523 = 1,393,523 : x
  2. Step 2: Convert to fraction form
    900,262/1,393,523 = 1,393,523/x
  3. Step 3: Cross multiply
    900,262x = 1,393,523 × 1,393,523
  4. Step 4: Simplify right side
    900,262x = 1,941,906,351,529
  5. Step 5: Solve for x
    x = 1,941,906,351,529/900,262
  6. Step 6: Final answer
    x = 2,157,045.78

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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.