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Finding the Third Proportional to 660,020 and 1,029,450

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Solution

The third proportional to 660,020 and 1,029,450 is: 1,605,659.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,020 : 1,029,450 = 1,029,450 : x
  2. Step 2: Convert to fraction form
    660,020/1,029,450 = 1,029,450/x
  3. Step 3: Cross multiply
    660,020x = 1,029,450 × 1,029,450
  4. Step 4: Simplify right side
    660,020x = 1,059,767,302,500
  5. Step 5: Solve for x
    x = 1,059,767,302,500/660,020
  6. Step 6: Final answer
    x = 1,605,659.38

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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.