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Finding the Third Proportional to 846,408 and 1,148,232

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Solution

The third proportional to 846,408 and 1,148,232 is: 1,557,684.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    846,408 : 1,148,232 = 1,148,232 : x
  2. Step 2: Convert to fraction form
    846,408/1,148,232 = 1,148,232/x
  3. Step 3: Cross multiply
    846,408x = 1,148,232 × 1,148,232
  4. Step 4: Simplify right side
    846,408x = 1,318,436,725,824
  5. Step 5: Solve for x
    x = 1,318,436,725,824/846,408
  6. Step 6: Final answer
    x = 1,557,684.62

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.