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Finding the Third Proportional to 407,783 and 921,319

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Solution

The third proportional to 407,783 and 921,319 is: 2,081,569.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,783 : 921,319 = 921,319 : x
  2. Step 2: Convert to fraction form
    407,783/921,319 = 921,319/x
  3. Step 3: Cross multiply
    407,783x = 921,319 × 921,319
  4. Step 4: Simplify right side
    407,783x = 848,828,699,761
  5. Step 5: Solve for x
    x = 848,828,699,761/407,783
  6. Step 6: Final answer
    x = 2,081,569.61

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.