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Finding the Third Proportional to 663,230 and 1,432,357

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Solution

The third proportional to 663,230 and 1,432,357 is: 3,093,416.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,230 : 1,432,357 = 1,432,357 : x
  2. Step 2: Convert to fraction form
    663,230/1,432,357 = 1,432,357/x
  3. Step 3: Cross multiply
    663,230x = 1,432,357 × 1,432,357
  4. Step 4: Simplify right side
    663,230x = 2,051,646,575,449
  5. Step 5: Solve for x
    x = 2,051,646,575,449/663,230
  6. Step 6: Final answer
    x = 3,093,416.42

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.