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Finding the Third Proportional to 746,878 and 1,148,005

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Solution

The third proportional to 746,878 and 1,148,005 is: 1,764,565.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,878 : 1,148,005 = 1,148,005 : x
  2. Step 2: Convert to fraction form
    746,878/1,148,005 = 1,148,005/x
  3. Step 3: Cross multiply
    746,878x = 1,148,005 × 1,148,005
  4. Step 4: Simplify right side
    746,878x = 1,317,915,480,025
  5. Step 5: Solve for x
    x = 1,317,915,480,025/746,878
  6. Step 6: Final answer
    x = 1,764,565.94

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.