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Finding the Third Proportional to 896,836 and 1,935,368

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Solution

The third proportional to 896,836 and 1,935,368 is: 4,176,515.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    896,836 : 1,935,368 = 1,935,368 : x
  2. Step 2: Convert to fraction form
    896,836/1,935,368 = 1,935,368/x
  3. Step 3: Cross multiply
    896,836x = 1,935,368 × 1,935,368
  4. Step 4: Simplify right side
    896,836x = 3,745,649,295,424
  5. Step 5: Solve for x
    x = 3,745,649,295,424/896,836
  6. Step 6: Final answer
    x = 4,176,515.32

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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.