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Finding the Third Proportional to 734,470 and 936,403

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Solution

The third proportional to 734,470 and 936,403 is: 1,193,854.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,470 : 936,403 = 936,403 : x
  2. Step 2: Convert to fraction form
    734,470/936,403 = 936,403/x
  3. Step 3: Cross multiply
    734,470x = 936,403 × 936,403
  4. Step 4: Simplify right side
    734,470x = 876,850,578,409
  5. Step 5: Solve for x
    x = 876,850,578,409/734,470
  6. Step 6: Final answer
    x = 1,193,854.86

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Why These Related Problems?

These problems maintain the same ratio (1.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.