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Finding the Third Proportional to 623,344 and 1,324,352

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Solution

The third proportional to 623,344 and 1,324,352 is: 2,813,708.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,344 : 1,324,352 = 1,324,352 : x
  2. Step 2: Convert to fraction form
    623,344/1,324,352 = 1,324,352/x
  3. Step 3: Cross multiply
    623,344x = 1,324,352 × 1,324,352
  4. Step 4: Simplify right side
    623,344x = 1,753,908,219,904
  5. Step 5: Solve for x
    x = 1,753,908,219,904/623,344
  6. Step 6: Final answer
    x = 2,813,708.35

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.