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Finding the Third Proportional to 824,254 and 1,757,376

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Solution

The third proportional to 824,254 and 1,757,376 is: 3,746,867.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,254 : 1,757,376 = 1,757,376 : x
  2. Step 2: Convert to fraction form
    824,254/1,757,376 = 1,757,376/x
  3. Step 3: Cross multiply
    824,254x = 1,757,376 × 1,757,376
  4. Step 4: Simplify right side
    824,254x = 3,088,370,405,376
  5. Step 5: Solve for x
    x = 3,088,370,405,376/824,254
  6. Step 6: Final answer
    x = 3,746,867.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.