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Finding the Third Proportional to 1,234,634 and 1,762,138

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Solution

The third proportional to 1,234,634 and 1,762,138 is: 2,515,020.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,234,634 : 1,762,138 = 1,762,138 : x
  2. Step 2: Convert to fraction form
    1,234,634/1,762,138 = 1,762,138/x
  3. Step 3: Cross multiply
    1,234,634x = 1,762,138 × 1,762,138
  4. Step 4: Simplify right side
    1,234,634x = 3,105,130,331,044
  5. Step 5: Solve for x
    x = 3,105,130,331,044/1,234,634
  6. Step 6: Final answer
    x = 2,515,020.91

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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.