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Finding the Third Proportional to 660,016 and 1,029,444

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Solution

The third proportional to 660,016 and 1,029,444 is: 1,605,650.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,016 : 1,029,444 = 1,029,444 : x
  2. Step 2: Convert to fraction form
    660,016/1,029,444 = 1,029,444/x
  3. Step 3: Cross multiply
    660,016x = 1,029,444 × 1,029,444
  4. Step 4: Simplify right side
    660,016x = 1,059,754,949,136
  5. Step 5: Solve for x
    x = 1,059,754,949,136/660,016
  6. Step 6: Final answer
    x = 1,605,650.39

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.