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Finding the Third Proportional to 808,960 and 1,765,376

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Solution

The third proportional to 808,960 and 1,765,376 is: 3,852,542.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,960 : 1,765,376 = 1,765,376 : x
  2. Step 2: Convert to fraction form
    808,960/1,765,376 = 1,765,376/x
  3. Step 3: Cross multiply
    808,960x = 1,765,376 × 1,765,376
  4. Step 4: Simplify right side
    808,960x = 3,116,552,421,376
  5. Step 5: Solve for x
    x = 3,116,552,421,376/808,960
  6. Step 6: Final answer
    x = 3,852,542.06

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.