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Finding the Third Proportional to 743,716 and 1,531,448

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Solution

The third proportional to 743,716 and 1,531,448 is: 3,153,533.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,716 : 1,531,448 = 1,531,448 : x
  2. Step 2: Convert to fraction form
    743,716/1,531,448 = 1,531,448/x
  3. Step 3: Cross multiply
    743,716x = 1,531,448 × 1,531,448
  4. Step 4: Simplify right side
    743,716x = 2,345,332,976,704
  5. Step 5: Solve for x
    x = 2,345,332,976,704/743,716
  6. Step 6: Final answer
    x = 3,153,533.04

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.