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Finding the Third Proportional to 483,388 and 1,053,442

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Solution

The third proportional to 483,388 and 1,053,442 is: 2,295,754.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    483,388 : 1,053,442 = 1,053,442 : x
  2. Step 2: Convert to fraction form
    483,388/1,053,442 = 1,053,442/x
  3. Step 3: Cross multiply
    483,388x = 1,053,442 × 1,053,442
  4. Step 4: Simplify right side
    483,388x = 1,109,740,047,364
  5. Step 5: Solve for x
    x = 1,109,740,047,364/483,388
  6. Step 6: Final answer
    x = 2,295,754.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.