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Finding the Third Proportional to 922,809 and 1,976,835

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Solution

The third proportional to 922,809 and 1,976,835 is: 4,234,762.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    922,809 : 1,976,835 = 1,976,835 : x
  2. Step 2: Convert to fraction form
    922,809/1,976,835 = 1,976,835/x
  3. Step 3: Cross multiply
    922,809x = 1,976,835 × 1,976,835
  4. Step 4: Simplify right side
    922,809x = 3,907,876,617,225
  5. Step 5: Solve for x
    x = 3,907,876,617,225/922,809
  6. Step 6: Final answer
    x = 4,234,762.14

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.