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Finding the Third Proportional to 499,746 and 1,057,452

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Solution

The third proportional to 499,746 and 1,057,452 is: 2,237,546.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    499,746 : 1,057,452 = 1,057,452 : x
  2. Step 2: Convert to fraction form
    499,746/1,057,452 = 1,057,452/x
  3. Step 3: Cross multiply
    499,746x = 1,057,452 × 1,057,452
  4. Step 4: Simplify right side
    499,746x = 1,118,204,732,304
  5. Step 5: Solve for x
    x = 1,118,204,732,304/499,746
  6. Step 6: Final answer
    x = 2,237,546.14

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.