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Finding the Third Proportional to 658,821 and 963,099

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Solution

The third proportional to 658,821 and 963,099 is: 1,407,908.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    658,821 : 963,099 = 963,099 : x
  2. Step 2: Convert to fraction form
    658,821/963,099 = 963,099/x
  3. Step 3: Cross multiply
    658,821x = 963,099 × 963,099
  4. Step 4: Simplify right side
    658,821x = 927,559,683,801
  5. Step 5: Solve for x
    x = 927,559,683,801/658,821
  6. Step 6: Final answer
    x = 1,407,908.50

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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.