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Finding the Third Proportional to 411,084 and 896,672

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Solution

The third proportional to 411,084 and 896,672 is: 1,955,854.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,084 : 896,672 = 896,672 : x
  2. Step 2: Convert to fraction form
    411,084/896,672 = 896,672/x
  3. Step 3: Cross multiply
    411,084x = 896,672 × 896,672
  4. Step 4: Simplify right side
    411,084x = 804,020,675,584
  5. Step 5: Solve for x
    x = 804,020,675,584/411,084
  6. Step 6: Final answer
    x = 1,955,854.95

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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.