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Finding the Third Proportional to 689,317 and 1,009,944

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Solution

The third proportional to 689,317 and 1,009,944 is: 1,479,706.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,317 : 1,009,944 = 1,009,944 : x
  2. Step 2: Convert to fraction form
    689,317/1,009,944 = 1,009,944/x
  3. Step 3: Cross multiply
    689,317x = 1,009,944 × 1,009,944
  4. Step 4: Simplify right side
    689,317x = 1,019,986,883,136
  5. Step 5: Solve for x
    x = 1,019,986,883,136/689,317
  6. Step 6: Final answer
    x = 1,479,706.55

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Why These Related Problems?

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