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Finding the Third Proportional to 688,907 and 1,006,144

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Solution

The third proportional to 688,907 and 1,006,144 is: 1,469,466.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,907 : 1,006,144 = 1,006,144 : x
  2. Step 2: Convert to fraction form
    688,907/1,006,144 = 1,006,144/x
  3. Step 3: Cross multiply
    688,907x = 1,006,144 × 1,006,144
  4. Step 4: Simplify right side
    688,907x = 1,012,325,748,736
  5. Step 5: Solve for x
    x = 1,012,325,748,736/688,907
  6. Step 6: Final answer
    x = 1,469,466.49

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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.