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Finding the Third Proportional to 680,136 and 999,462

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Solution

The third proportional to 680,136 and 999,462 is: 1,468,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    680,136 : 999,462 = 999,462 : x
  2. Step 2: Convert to fraction form
    680,136/999,462 = 999,462/x
  3. Step 3: Cross multiply
    680,136x = 999,462 × 999,462
  4. Step 4: Simplify right side
    680,136x = 998,924,289,444
  5. Step 5: Solve for x
    x = 998,924,289,444/680,136
  6. Step 6: Final answer
    x = 1,468,712.57

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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.