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Finding the Third Proportional to 663,222 and 1,432,341

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Solution

The third proportional to 663,222 and 1,432,341 is: 3,093,384.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,222 : 1,432,341 = 1,432,341 : x
  2. Step 2: Convert to fraction form
    663,222/1,432,341 = 1,432,341/x
  3. Step 3: Cross multiply
    663,222x = 1,432,341 × 1,432,341
  4. Step 4: Simplify right side
    663,222x = 2,051,600,740,281
  5. Step 5: Solve for x
    x = 2,051,600,740,281/663,222
  6. Step 6: Final answer
    x = 3,093,384.63

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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.