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Finding the Third Proportional to 1,382,432 and 1,976,880

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Solution

The third proportional to 1,382,432 and 1,976,880 is: 2,826,941.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,382,432 : 1,976,880 = 1,976,880 : x
  2. Step 2: Convert to fraction form
    1,382,432/1,976,880 = 1,976,880/x
  3. Step 3: Cross multiply
    1,382,432x = 1,976,880 × 1,976,880
  4. Step 4: Simplify right side
    1,382,432x = 3,908,054,534,400
  5. Step 5: Solve for x
    x = 3,908,054,534,400/1,382,432
  6. Step 6: Final answer
    x = 2,826,941.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.