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Finding the Third Proportional to 663,226 and 1,432,349

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Solution

The third proportional to 663,226 and 1,432,349 is: 3,093,400.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,226 : 1,432,349 = 1,432,349 : x
  2. Step 2: Convert to fraction form
    663,226/1,432,349 = 1,432,349/x
  3. Step 3: Cross multiply
    663,226x = 1,432,349 × 1,432,349
  4. Step 4: Simplify right side
    663,226x = 2,051,623,657,801
  5. Step 5: Solve for x
    x = 2,051,623,657,801/663,226
  6. Step 6: Final answer
    x = 3,093,400.53

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