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Finding the Third Proportional to 738,742 and 1,590,478

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Solution

The third proportional to 738,742 and 1,590,478 is: 3,424,226.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,742 : 1,590,478 = 1,590,478 : x
  2. Step 2: Convert to fraction form
    738,742/1,590,478 = 1,590,478/x
  3. Step 3: Cross multiply
    738,742x = 1,590,478 × 1,590,478
  4. Step 4: Simplify right side
    738,742x = 2,529,620,268,484
  5. Step 5: Solve for x
    x = 2,529,620,268,484/738,742
  6. Step 6: Final answer
    x = 3,424,226.95

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.