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Finding the Third Proportional to 438,418 and 1,024,342

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Solution

The third proportional to 438,418 and 1,024,342 is: 2,393,324.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,418 : 1,024,342 = 1,024,342 : x
  2. Step 2: Convert to fraction form
    438,418/1,024,342 = 1,024,342/x
  3. Step 3: Cross multiply
    438,418x = 1,024,342 × 1,024,342
  4. Step 4: Simplify right side
    438,418x = 1,049,276,532,964
  5. Step 5: Solve for x
    x = 1,049,276,532,964/438,418
  6. Step 6: Final answer
    x = 2,393,324.48

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.