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Finding the Third Proportional to 746,880 and 1,148,008

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Solution

The third proportional to 746,880 and 1,148,008 is: 1,764,570.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,880 : 1,148,008 = 1,148,008 : x
  2. Step 2: Convert to fraction form
    746,880/1,148,008 = 1,148,008/x
  3. Step 3: Cross multiply
    746,880x = 1,148,008 × 1,148,008
  4. Step 4: Simplify right side
    746,880x = 1,317,922,368,064
  5. Step 5: Solve for x
    x = 1,317,922,368,064/746,880
  6. Step 6: Final answer
    x = 1,764,570.44

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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.