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Finding the Third Proportional to 462,281 and 994,546

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Solution

The third proportional to 462,281 and 994,546 is: 2,139,654.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    462,281 : 994,546 = 994,546 : x
  2. Step 2: Convert to fraction form
    462,281/994,546 = 994,546/x
  3. Step 3: Cross multiply
    462,281x = 994,546 × 994,546
  4. Step 4: Simplify right side
    462,281x = 989,121,746,116
  5. Step 5: Solve for x
    x = 989,121,746,116/462,281
  6. Step 6: Final answer
    x = 2,139,654.77

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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.