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Finding the Third Proportional to 689,636 and 1,076,376

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Solution

The third proportional to 689,636 and 1,076,376 is: 1,679,995.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,636 : 1,076,376 = 1,076,376 : x
  2. Step 2: Convert to fraction form
    689,636/1,076,376 = 1,076,376/x
  3. Step 3: Cross multiply
    689,636x = 1,076,376 × 1,076,376
  4. Step 4: Simplify right side
    689,636x = 1,158,585,293,376
  5. Step 5: Solve for x
    x = 1,158,585,293,376/689,636
  6. Step 6: Final answer
    x = 1,679,995.38

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.