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Finding the Third Proportional to 936,063 and 1,825,470

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Solution

The third proportional to 936,063 and 1,825,470 is: 3,559,953.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    936,063 : 1,825,470 = 1,825,470 : x
  2. Step 2: Convert to fraction form
    936,063/1,825,470 = 1,825,470/x
  3. Step 3: Cross multiply
    936,063x = 1,825,470 × 1,825,470
  4. Step 4: Simplify right side
    936,063x = 3,332,340,720,900
  5. Step 5: Solve for x
    x = 3,332,340,720,900/936,063
  6. Step 6: Final answer
    x = 3,559,953.47

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.