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Finding the Third Proportional to 1,076,966 and 1,689,591

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Solution

The third proportional to 1,076,966 and 1,689,591 is: 2,650,703.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,076,966 : 1,689,591 = 1,689,591 : x
  2. Step 2: Convert to fraction form
    1,076,966/1,689,591 = 1,689,591/x
  3. Step 3: Cross multiply
    1,076,966x = 1,689,591 × 1,689,591
  4. Step 4: Simplify right side
    1,076,966x = 2,854,717,747,281
  5. Step 5: Solve for x
    x = 2,854,717,747,281/1,076,966
  6. Step 6: Final answer
    x = 2,650,703.69

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.