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Finding the Third Proportional to 460,820 and 958,434

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Solution

The third proportional to 460,820 and 958,434 is: 1,993,393.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,820 : 958,434 = 958,434 : x
  2. Step 2: Convert to fraction form
    460,820/958,434 = 958,434/x
  3. Step 3: Cross multiply
    460,820x = 958,434 × 958,434
  4. Step 4: Simplify right side
    460,820x = 918,595,732,356
  5. Step 5: Solve for x
    x = 918,595,732,356/460,820
  6. Step 6: Final answer
    x = 1,993,393.80

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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.