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Finding the Third Proportional to 676,628 and 1,007,652

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Solution

The third proportional to 676,628 and 1,007,652 is: 1,500,621.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    676,628 : 1,007,652 = 1,007,652 : x
  2. Step 2: Convert to fraction form
    676,628/1,007,652 = 1,007,652/x
  3. Step 3: Cross multiply
    676,628x = 1,007,652 × 1,007,652
  4. Step 4: Simplify right side
    676,628x = 1,015,362,553,104
  5. Step 5: Solve for x
    x = 1,015,362,553,104/676,628
  6. Step 6: Final answer
    x = 1,500,621.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.