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Finding the Third Proportional to 416,616 and 896,331

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Solution

The third proportional to 416,616 and 896,331 is: 1,928,416.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    416,616 : 896,331 = 896,331 : x
  2. Step 2: Convert to fraction form
    416,616/896,331 = 896,331/x
  3. Step 3: Cross multiply
    416,616x = 896,331 × 896,331
  4. Step 4: Simplify right side
    416,616x = 803,409,261,561
  5. Step 5: Solve for x
    x = 803,409,261,561/416,616
  6. Step 6: Final answer
    x = 1,928,416.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.