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Finding the Third Proportional to 906,669 and 1,415,142

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Solution

The third proportional to 906,669 and 1,415,142 is: 2,208,773.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,669 : 1,415,142 = 1,415,142 : x
  2. Step 2: Convert to fraction form
    906,669/1,415,142 = 1,415,142/x
  3. Step 3: Cross multiply
    906,669x = 1,415,142 × 1,415,142
  4. Step 4: Simplify right side
    906,669x = 2,002,626,880,164
  5. Step 5: Solve for x
    x = 2,002,626,880,164/906,669
  6. Step 6: Final answer
    x = 2,208,773.96

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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.