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Finding the Third Proportional to 1,234,631 and 1,762,135

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Solution

The third proportional to 1,234,631 and 1,762,135 is: 2,515,018.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,631 : 1,762,135 = 1,762,135 : x
  2. Step 2: Convert to fraction form
    1,234,631/1,762,135 = 1,762,135/x
  3. Step 3: Cross multiply
    1,234,631x = 1,762,135 × 1,762,135
  4. Step 4: Simplify right side
    1,234,631x = 3,105,119,758,225
  5. Step 5: Solve for x
    x = 3,105,119,758,225/1,234,631
  6. Step 6: Final answer
    x = 2,515,018.46

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.