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Finding the Third Proportional to 505,584 and 1,073,376

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Solution

The third proportional to 505,584 and 1,073,376 is: 2,278,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    505,584 : 1,073,376 = 1,073,376 : x
  2. Step 2: Convert to fraction form
    505,584/1,073,376 = 1,073,376/x
  3. Step 3: Cross multiply
    505,584x = 1,073,376 × 1,073,376
  4. Step 4: Simplify right side
    505,584x = 1,152,136,037,376
  5. Step 5: Solve for x
    x = 1,152,136,037,376/505,584
  6. Step 6: Final answer
    x = 2,278,822.19

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.