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Finding the Third Proportional to 906,984 and 1,415,616

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Solution

The third proportional to 906,984 and 1,415,616 is: 2,209,486.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    906,984 : 1,415,616 = 1,415,616 : x
  2. Step 2: Convert to fraction form
    906,984/1,415,616 = 1,415,616/x
  3. Step 3: Cross multiply
    906,984x = 1,415,616 × 1,415,616
  4. Step 4: Simplify right side
    906,984x = 2,003,968,659,456
  5. Step 5: Solve for x
    x = 2,003,968,659,456/906,984
  6. Step 6: Final answer
    x = 2,209,486.23

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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.