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Finding the Third Proportional to 816,240 and 1,765,452

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Solution

The third proportional to 816,240 and 1,765,452 is: 3,818,510.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,240 : 1,765,452 = 1,765,452 : x
  2. Step 2: Convert to fraction form
    816,240/1,765,452 = 1,765,452/x
  3. Step 3: Cross multiply
    816,240x = 1,765,452 × 1,765,452
  4. Step 4: Simplify right side
    816,240x = 3,116,820,764,304
  5. Step 5: Solve for x
    x = 3,116,820,764,304/816,240
  6. Step 6: Final answer
    x = 3,818,510.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.