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Finding the Third Proportional to 689,222 and 1,007,100

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Solution

The third proportional to 689,222 and 1,007,100 is: 1,471,587.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,222 : 1,007,100 = 1,007,100 : x
  2. Step 2: Convert to fraction form
    689,222/1,007,100 = 1,007,100/x
  3. Step 3: Cross multiply
    689,222x = 1,007,100 × 1,007,100
  4. Step 4: Simplify right side
    689,222x = 1,014,250,410,000
  5. Step 5: Solve for x
    x = 1,014,250,410,000/689,222
  6. Step 6: Final answer
    x = 1,471,587.40

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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.