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Finding the Third Proportional to 1,584,376 and 3,421,274

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Solution

The third proportional to 1,584,376 and 3,421,274 is: 7,387,839.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,584,376 : 3,421,274 = 3,421,274 : x
  2. Step 2: Convert to fraction form
    1,584,376/3,421,274 = 3,421,274/x
  3. Step 3: Cross multiply
    1,584,376x = 3,421,274 × 3,421,274
  4. Step 4: Simplify right side
    1,584,376x = 11,705,115,783,076
  5. Step 5: Solve for x
    x = 11,705,115,783,076/1,584,376
  6. Step 6: Final answer
    x = 7,387,839.62

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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.