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Finding the Third Proportional to 945,916 and 1,428,696

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Solution

The third proportional to 945,916 and 1,428,696 is: 2,157,878.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,916 : 1,428,696 = 1,428,696 : x
  2. Step 2: Convert to fraction form
    945,916/1,428,696 = 1,428,696/x
  3. Step 3: Cross multiply
    945,916x = 1,428,696 × 1,428,696
  4. Step 4: Simplify right side
    945,916x = 2,041,172,260,416
  5. Step 5: Solve for x
    x = 2,041,172,260,416/945,916
  6. Step 6: Final answer
    x = 2,157,878.99

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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.