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Finding the Third Proportional to 946,648 and 1,429,828

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Solution

The third proportional to 946,648 and 1,429,828 is: 2,159,628.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    946,648 : 1,429,828 = 1,429,828 : x
  2. Step 2: Convert to fraction form
    946,648/1,429,828 = 1,429,828/x
  3. Step 3: Cross multiply
    946,648x = 1,429,828 × 1,429,828
  4. Step 4: Simplify right side
    946,648x = 2,044,408,109,584
  5. Step 5: Solve for x
    x = 2,044,408,109,584/946,648
  6. Step 6: Final answer
    x = 2,159,628.62

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.