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Finding the Third Proportional to 754,848 and 1,649,664

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Solution

The third proportional to 754,848 and 1,649,664 is: 3,605,217.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,848 : 1,649,664 = 1,649,664 : x
  2. Step 2: Convert to fraction form
    754,848/1,649,664 = 1,649,664/x
  3. Step 3: Cross multiply
    754,848x = 1,649,664 × 1,649,664
  4. Step 4: Simplify right side
    754,848x = 2,721,391,312,896
  5. Step 5: Solve for x
    x = 2,721,391,312,896/754,848
  6. Step 6: Final answer
    x = 3,605,217.62

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.