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Finding the Third Proportional to 666,288 and 1,465,407

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Solution

The third proportional to 666,288 and 1,465,407 is: 3,222,957.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    666,288 : 1,465,407 = 1,465,407 : x
  2. Step 2: Convert to fraction form
    666,288/1,465,407 = 1,465,407/x
  3. Step 3: Cross multiply
    666,288x = 1,465,407 × 1,465,407
  4. Step 4: Simplify right side
    666,288x = 2,147,417,675,649
  5. Step 5: Solve for x
    x = 2,147,417,675,649/666,288
  6. Step 6: Final answer
    x = 3,222,957.15

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.