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Finding the Third Proportional to 666,998 and 1,460,488

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Solution

The third proportional to 666,998 and 1,460,488 is: 3,197,948.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,998 : 1,460,488 = 1,460,488 : x
  2. Step 2: Convert to fraction form
    666,998/1,460,488 = 1,460,488/x
  3. Step 3: Cross multiply
    666,998x = 1,460,488 × 1,460,488
  4. Step 4: Simplify right side
    666,998x = 2,133,025,198,144
  5. Step 5: Solve for x
    x = 2,133,025,198,144/666,998
  6. Step 6: Final answer
    x = 3,197,948.42

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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.