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Finding the Third Proportional to 746,365 and 1,124,923

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Solution

The third proportional to 746,365 and 1,124,923 is: 1,695,486.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,365 : 1,124,923 = 1,124,923 : x
  2. Step 2: Convert to fraction form
    746,365/1,124,923 = 1,124,923/x
  3. Step 3: Cross multiply
    746,365x = 1,124,923 × 1,124,923
  4. Step 4: Simplify right side
    746,365x = 1,265,451,755,929
  5. Step 5: Solve for x
    x = 1,265,451,755,929/746,365
  6. Step 6: Final answer
    x = 1,695,486.47

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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.