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Finding the Third Proportional to 733,976 and 1,033,572

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Solution

The third proportional to 733,976 and 1,033,572 is: 1,455,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,976 : 1,033,572 = 1,033,572 : x
  2. Step 2: Convert to fraction form
    733,976/1,033,572 = 1,033,572/x
  3. Step 3: Cross multiply
    733,976x = 1,033,572 × 1,033,572
  4. Step 4: Simplify right side
    733,976x = 1,068,271,079,184
  5. Step 5: Solve for x
    x = 1,068,271,079,184/733,976
  6. Step 6: Final answer
    x = 1,455,457.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.