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Finding the Third Proportional to 709,492 and 1,541,456

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Solution

The third proportional to 709,492 and 1,541,456 is: 3,348,997.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    709,492 : 1,541,456 = 1,541,456 : x
  2. Step 2: Convert to fraction form
    709,492/1,541,456 = 1,541,456/x
  3. Step 3: Cross multiply
    709,492x = 1,541,456 × 1,541,456
  4. Step 4: Simplify right side
    709,492x = 2,376,086,599,936
  5. Step 5: Solve for x
    x = 2,376,086,599,936/709,492
  6. Step 6: Final answer
    x = 3,348,997.03

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.