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Finding the Third Proportional to 689,330 and 1,009,965

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Solution

The third proportional to 689,330 and 1,009,965 is: 1,479,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,330 : 1,009,965 = 1,009,965 : x
  2. Step 2: Convert to fraction form
    689,330/1,009,965 = 1,009,965/x
  3. Step 3: Cross multiply
    689,330x = 1,009,965 × 1,009,965
  4. Step 4: Simplify right side
    689,330x = 1,020,029,301,225
  5. Step 5: Solve for x
    x = 1,020,029,301,225/689,330
  6. Step 6: Final answer
    x = 1,479,740.18

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.