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Finding the Third Proportional to 623,930 and 1,342,432

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Solution

The third proportional to 623,930 and 1,342,432 is: 2,888,342.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    623,930 : 1,342,432 = 1,342,432 : x
  2. Step 2: Convert to fraction form
    623,930/1,342,432 = 1,342,432/x
  3. Step 3: Cross multiply
    623,930x = 1,342,432 × 1,342,432
  4. Step 4: Simplify right side
    623,930x = 1,802,123,674,624
  5. Step 5: Solve for x
    x = 1,802,123,674,624/623,930
  6. Step 6: Final answer
    x = 2,888,342.72

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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.