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Finding the Third Proportional to 661,942 and 1,428,842

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Solution

The third proportional to 661,942 and 1,428,842 is: 3,084,242.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    661,942 : 1,428,842 = 1,428,842 : x
  2. Step 2: Convert to fraction form
    661,942/1,428,842 = 1,428,842/x
  3. Step 3: Cross multiply
    661,942x = 1,428,842 × 1,428,842
  4. Step 4: Simplify right side
    661,942x = 2,041,589,460,964
  5. Step 5: Solve for x
    x = 2,041,589,460,964/661,942
  6. Step 6: Final answer
    x = 3,084,242.22

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.