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Finding the Third Proportional to 743,273 and 1,097,413

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Solution

The third proportional to 743,273 and 1,097,413 is: 1,620,286.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    743,273 : 1,097,413 = 1,097,413 : x
  2. Step 2: Convert to fraction form
    743,273/1,097,413 = 1,097,413/x
  3. Step 3: Cross multiply
    743,273x = 1,097,413 × 1,097,413
  4. Step 4: Simplify right side
    743,273x = 1,204,315,292,569
  5. Step 5: Solve for x
    x = 1,204,315,292,569/743,273
  6. Step 6: Final answer
    x = 1,620,286.61

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.