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Finding the Third Proportional to 743,688 and 1,531,404

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Solution

The third proportional to 743,688 and 1,531,404 is: 3,153,470.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,688 : 1,531,404 = 1,531,404 : x
  2. Step 2: Convert to fraction form
    743,688/1,531,404 = 1,531,404/x
  3. Step 3: Cross multiply
    743,688x = 1,531,404 × 1,531,404
  4. Step 4: Simplify right side
    743,688x = 2,345,198,211,216
  5. Step 5: Solve for x
    x = 2,345,198,211,216/743,688
  6. Step 6: Final answer
    x = 3,153,470.56

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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.