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Finding the Third Proportional to 625,680 and 896,616

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Solution

The third proportional to 625,680 and 896,616 is: 1,284,874.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    625,680 : 896,616 = 896,616 : x
  2. Step 2: Convert to fraction form
    625,680/896,616 = 896,616/x
  3. Step 3: Cross multiply
    625,680x = 896,616 × 896,616
  4. Step 4: Simplify right side
    625,680x = 803,920,251,456
  5. Step 5: Solve for x
    x = 803,920,251,456/625,680
  6. Step 6: Final answer
    x = 1,284,874.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.