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Finding the Third Proportional to 896,320 and 1,960,464

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Solution

The third proportional to 896,320 and 1,960,464 is: 4,287,998.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,320 : 1,960,464 = 1,960,464 : x
  2. Step 2: Convert to fraction form
    896,320/1,960,464 = 1,960,464/x
  3. Step 3: Cross multiply
    896,320x = 1,960,464 × 1,960,464
  4. Step 4: Simplify right side
    896,320x = 3,843,419,095,296
  5. Step 5: Solve for x
    x = 3,843,419,095,296/896,320
  6. Step 6: Final answer
    x = 4,287,998.81

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.