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Finding the Third Proportional to 928,017 and 1,965,870

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Solution

The third proportional to 928,017 and 1,965,870 is: 4,164,411.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    928,017 : 1,965,870 = 1,965,870 : x
  2. Step 2: Convert to fraction form
    928,017/1,965,870 = 1,965,870/x
  3. Step 3: Cross multiply
    928,017x = 1,965,870 × 1,965,870
  4. Step 4: Simplify right side
    928,017x = 3,864,644,856,900
  5. Step 5: Solve for x
    x = 3,864,644,856,900/928,017
  6. Step 6: Final answer
    x = 4,164,411.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.