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Finding the Third Proportional to 813,610 and 1,749,664

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Solution

The third proportional to 813,610 and 1,749,664 is: 3,762,643.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    813,610 : 1,749,664 = 1,749,664 : x
  2. Step 2: Convert to fraction form
    813,610/1,749,664 = 1,749,664/x
  3. Step 3: Cross multiply
    813,610x = 1,749,664 × 1,749,664
  4. Step 4: Simplify right side
    813,610x = 3,061,324,112,896
  5. Step 5: Solve for x
    x = 3,061,324,112,896/813,610
  6. Step 6: Final answer
    x = 3,762,643.17

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.