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Finding the Third Proportional to 687,762 and 1,494,108

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Solution

The third proportional to 687,762 and 1,494,108 is: 3,245,830.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,762 : 1,494,108 = 1,494,108 : x
  2. Step 2: Convert to fraction form
    687,762/1,494,108 = 1,494,108/x
  3. Step 3: Cross multiply
    687,762x = 1,494,108 × 1,494,108
  4. Step 4: Simplify right side
    687,762x = 2,232,358,715,664
  5. Step 5: Solve for x
    x = 2,232,358,715,664/687,762
  6. Step 6: Final answer
    x = 3,245,830.27

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.