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Finding the Third Proportional to 688,932 and 1,006,176

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Solution

The third proportional to 688,932 and 1,006,176 is: 1,469,506.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,932 : 1,006,176 = 1,006,176 : x
  2. Step 2: Convert to fraction form
    688,932/1,006,176 = 1,006,176/x
  3. Step 3: Cross multiply
    688,932x = 1,006,176 × 1,006,176
  4. Step 4: Simplify right side
    688,932x = 1,012,390,142,976
  5. Step 5: Solve for x
    x = 1,012,390,142,976/688,932
  6. Step 6: Final answer
    x = 1,469,506.63

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