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Finding the Third Proportional to 660,280 and 1,446,764

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Solution

The third proportional to 660,280 and 1,446,764 is: 3,170,058.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    660,280 : 1,446,764 = 1,446,764 : x
  2. Step 2: Convert to fraction form
    660,280/1,446,764 = 1,446,764/x
  3. Step 3: Cross multiply
    660,280x = 1,446,764 × 1,446,764
  4. Step 4: Simplify right side
    660,280x = 2,093,126,071,696
  5. Step 5: Solve for x
    x = 2,093,126,071,696/660,280
  6. Step 6: Final answer
    x = 3,170,058.27

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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.