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Finding the Third Proportional to 726,472 and 1,583,735

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Solution

The third proportional to 726,472 and 1,583,735 is: 3,452,599.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,472 : 1,583,735 = 1,583,735 : x
  2. Step 2: Convert to fraction form
    726,472/1,583,735 = 1,583,735/x
  3. Step 3: Cross multiply
    726,472x = 1,583,735 × 1,583,735
  4. Step 4: Simplify right side
    726,472x = 2,508,216,550,225
  5. Step 5: Solve for x
    x = 2,508,216,550,225/726,472
  6. Step 6: Final answer
    x = 3,452,599.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.