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Finding the Third Proportional to 663,412 and 1,430,504

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Solution

The third proportional to 663,412 and 1,430,504 is: 3,084,571.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    663,412 : 1,430,504 = 1,430,504 : x
  2. Step 2: Convert to fraction form
    663,412/1,430,504 = 1,430,504/x
  3. Step 3: Cross multiply
    663,412x = 1,430,504 × 1,430,504
  4. Step 4: Simplify right side
    663,412x = 2,046,341,694,016
  5. Step 5: Solve for x
    x = 2,046,341,694,016/663,412
  6. Step 6: Final answer
    x = 3,084,571.42

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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.