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Finding the Third Proportional to 816,480 and 1,764,396

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Solution

The third proportional to 816,480 and 1,764,396 is: 3,812,822.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    816,480 : 1,764,396 = 1,764,396 : x
  2. Step 2: Convert to fraction form
    816,480/1,764,396 = 1,764,396/x
  3. Step 3: Cross multiply
    816,480x = 1,764,396 × 1,764,396
  4. Step 4: Simplify right side
    816,480x = 3,113,093,244,816
  5. Step 5: Solve for x
    x = 3,113,093,244,816/816,480
  6. Step 6: Final answer
    x = 3,812,822.41

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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.