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Finding the Third Proportional to 733,884 and 1,547,344

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Solution

The third proportional to 733,884 and 1,547,344 is: 3,262,468.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    733,884 : 1,547,344 = 1,547,344 : x
  2. Step 2: Convert to fraction form
    733,884/1,547,344 = 1,547,344/x
  3. Step 3: Cross multiply
    733,884x = 1,547,344 × 1,547,344
  4. Step 4: Simplify right side
    733,884x = 2,394,273,454,336
  5. Step 5: Solve for x
    x = 2,394,273,454,336/733,884
  6. Step 6: Final answer
    x = 3,262,468.53

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.