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Finding the Third Proportional to 666,996 and 1,460,484

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Solution

The third proportional to 666,996 and 1,460,484 is: 3,197,940.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,996 : 1,460,484 = 1,460,484 : x
  2. Step 2: Convert to fraction form
    666,996/1,460,484 = 1,460,484/x
  3. Step 3: Cross multiply
    666,996x = 1,460,484 × 1,460,484
  4. Step 4: Simplify right side
    666,996x = 2,133,013,514,256
  5. Step 5: Solve for x
    x = 2,133,013,514,256/666,996
  6. Step 6: Final answer
    x = 3,197,940.49

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.