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Finding the Third Proportional to 808,492 and 1,760,420

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Solution

The third proportional to 808,492 and 1,760,420 is: 3,833,159.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    808,492 : 1,760,420 = 1,760,420 : x
  2. Step 2: Convert to fraction form
    808,492/1,760,420 = 1,760,420/x
  3. Step 3: Cross multiply
    808,492x = 1,760,420 × 1,760,420
  4. Step 4: Simplify right side
    808,492x = 3,099,078,576,400
  5. Step 5: Solve for x
    x = 3,099,078,576,400/808,492
  6. Step 6: Final answer
    x = 3,833,159.24

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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.