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Finding the Third Proportional to 623,408 and 1,342,164

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Solution

The third proportional to 623,408 and 1,342,164 is: 2,889,607.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,408 : 1,342,164 = 1,342,164 : x
  2. Step 2: Convert to fraction form
    623,408/1,342,164 = 1,342,164/x
  3. Step 3: Cross multiply
    623,408x = 1,342,164 × 1,342,164
  4. Step 4: Simplify right side
    623,408x = 1,801,404,202,896
  5. Step 5: Solve for x
    x = 1,801,404,202,896/623,408
  6. Step 6: Final answer
    x = 2,889,607.13

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.