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Finding the Third Proportional to 689,536 and 1,071,456

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Solution

The third proportional to 689,536 and 1,071,456 is: 1,664,913.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,536 : 1,071,456 = 1,071,456 : x
  2. Step 2: Convert to fraction form
    689,536/1,071,456 = 1,071,456/x
  3. Step 3: Cross multiply
    689,536x = 1,071,456 × 1,071,456
  4. Step 4: Simplify right side
    689,536x = 1,148,017,959,936
  5. Step 5: Solve for x
    x = 1,148,017,959,936/689,536
  6. Step 6: Final answer
    x = 1,664,913.74

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.