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Finding the Third Proportional to 689,631.75 and 1,076,364

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Solution

The third proportional to 689,631.75 and 1,076,364 is: 1,679,968.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,631.75 : 1,076,364 = 1,076,364 : x
  2. Step 2: Convert to fraction form
    689,631.75/1,076,364 = 1,076,364/x
  3. Step 3: Cross multiply
    689,631.75x = 1,076,364 × 1,076,364
  4. Step 4: Simplify right side
    689,631.75x = 1,158,559,460,496
  5. Step 5: Solve for x
    x = 1,158,559,460,496/689,631.75
  6. Step 6: Final answer
    x = 1,679,968.27

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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.