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Finding the Third Proportional to 896,382 and 1,935,378

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Solution

The third proportional to 896,382 and 1,935,378 is: 4,178,673.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,382 : 1,935,378 = 1,935,378 : x
  2. Step 2: Convert to fraction form
    896,382/1,935,378 = 1,935,378/x
  3. Step 3: Cross multiply
    896,382x = 1,935,378 × 1,935,378
  4. Step 4: Simplify right side
    896,382x = 3,745,688,002,884
  5. Step 5: Solve for x
    x = 3,745,688,002,884/896,382
  6. Step 6: Final answer
    x = 4,178,673.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.