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Finding the Third Proportional to 414,248 and 896,200

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Solution

The third proportional to 414,248 and 896,200 is: 1,938,873.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,248 : 896,200 = 896,200 : x
  2. Step 2: Convert to fraction form
    414,248/896,200 = 896,200/x
  3. Step 3: Cross multiply
    414,248x = 896,200 × 896,200
  4. Step 4: Simplify right side
    414,248x = 803,174,440,000
  5. Step 5: Solve for x
    x = 803,174,440,000/414,248
  6. Step 6: Final answer
    x = 1,938,873.43

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