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Finding the Third Proportional to 825,472 and 1,806,480

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Solution

The third proportional to 825,472 and 1,806,480 is: 3,953,338.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    825,472 : 1,806,480 = 1,806,480 : x
  2. Step 2: Convert to fraction form
    825,472/1,806,480 = 1,806,480/x
  3. Step 3: Cross multiply
    825,472x = 1,806,480 × 1,806,480
  4. Step 4: Simplify right side
    825,472x = 3,263,369,990,400
  5. Step 5: Solve for x
    x = 3,263,369,990,400/825,472
  6. Step 6: Final answer
    x = 3,953,338.20

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.