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Finding the Third Proportional to 523,684 and 1,117,352

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Solution

The third proportional to 523,684 and 1,117,352 is: 2,384,024.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    523,684 : 1,117,352 = 1,117,352 : x
  2. Step 2: Convert to fraction form
    523,684/1,117,352 = 1,117,352/x
  3. Step 3: Cross multiply
    523,684x = 1,117,352 × 1,117,352
  4. Step 4: Simplify right side
    523,684x = 1,248,475,491,904
  5. Step 5: Solve for x
    x = 1,248,475,491,904/523,684
  6. Step 6: Final answer
    x = 2,384,024.51

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.