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Finding the Third Proportional to 1,234,632 and 1,762,137

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Solution

The third proportional to 1,234,632 and 1,762,137 is: 2,515,022.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,632 : 1,762,137 = 1,762,137 : x
  2. Step 2: Convert to fraction form
    1,234,632/1,762,137 = 1,762,137/x
  3. Step 3: Cross multiply
    1,234,632x = 1,762,137 × 1,762,137
  4. Step 4: Simplify right side
    1,234,632x = 3,105,126,806,769
  5. Step 5: Solve for x
    x = 3,105,126,806,769/1,234,632
  6. Step 6: Final answer
    x = 2,515,022.13

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