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Finding the Third Proportional to 639,616 and 954,240

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Solution

The third proportional to 639,616 and 954,240 is: 1,423,626.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    639,616 : 954,240 = 954,240 : x
  2. Step 2: Convert to fraction form
    639,616/954,240 = 954,240/x
  3. Step 3: Cross multiply
    639,616x = 954,240 × 954,240
  4. Step 4: Simplify right side
    639,616x = 910,573,977,600
  5. Step 5: Solve for x
    x = 910,573,977,600/639,616
  6. Step 6: Final answer
    x = 1,423,626.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.