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Finding the Third Proportional to 688,938 and 1,006,185

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Solution

The third proportional to 688,938 and 1,006,185 is: 1,469,520.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,938 : 1,006,185 = 1,006,185 : x
  2. Step 2: Convert to fraction form
    688,938/1,006,185 = 1,006,185/x
  3. Step 3: Cross multiply
    688,938x = 1,006,185 × 1,006,185
  4. Step 4: Simplify right side
    688,938x = 1,012,408,254,225
  5. Step 5: Solve for x
    x = 1,012,408,254,225/688,938
  6. Step 6: Final answer
    x = 1,469,520.12

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.