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Finding the Third Proportional to 460,838 and 958,464

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Solution

The third proportional to 460,838 and 958,464 is: 1,993,440.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,838 : 958,464 = 958,464 : x
  2. Step 2: Convert to fraction form
    460,838/958,464 = 958,464/x
  3. Step 3: Cross multiply
    460,838x = 958,464 × 958,464
  4. Step 4: Simplify right side
    460,838x = 918,653,239,296
  5. Step 5: Solve for x
    x = 918,653,239,296/460,838
  6. Step 6: Final answer
    x = 1,993,440.73

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.