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Finding the Third Proportional to 710,664 and 1,526,736

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Solution

The third proportional to 710,664 and 1,526,736 is: 3,279,922.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    710,664 : 1,526,736 = 1,526,736 : x
  2. Step 2: Convert to fraction form
    710,664/1,526,736 = 1,526,736/x
  3. Step 3: Cross multiply
    710,664x = 1,526,736 × 1,526,736
  4. Step 4: Simplify right side
    710,664x = 2,330,922,813,696
  5. Step 5: Solve for x
    x = 2,330,922,813,696/710,664
  6. Step 6: Final answer
    x = 3,279,922.46

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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.