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Finding the Third Proportional to 689,634 and 1,076,373

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Solution

The third proportional to 689,634 and 1,076,373 is: 1,679,990.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,634 : 1,076,373 = 1,076,373 : x
  2. Step 2: Convert to fraction form
    689,634/1,076,373 = 1,076,373/x
  3. Step 3: Cross multiply
    689,634x = 1,076,373 × 1,076,373
  4. Step 4: Simplify right side
    689,634x = 1,158,578,835,129
  5. Step 5: Solve for x
    x = 1,158,578,835,129/689,634
  6. Step 6: Final answer
    x = 1,679,990.89

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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.