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Finding the Third Proportional to 748,643 and 1,623,406

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Solution

The third proportional to 748,643 and 1,623,406 is: 3,520,298.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    748,643 : 1,623,406 = 1,623,406 : x
  2. Step 2: Convert to fraction form
    748,643/1,623,406 = 1,623,406/x
  3. Step 3: Cross multiply
    748,643x = 1,623,406 × 1,623,406
  4. Step 4: Simplify right side
    748,643x = 2,635,447,040,836
  5. Step 5: Solve for x
    x = 2,635,447,040,836/748,643
  6. Step 6: Final answer
    x = 3,520,298.78

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