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Finding the Third Proportional to 945,596 and 1,415,053

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Solution

The third proportional to 945,596 and 1,415,053 is: 2,117,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    945,596 : 1,415,053 = 1,415,053 : x
  2. Step 2: Convert to fraction form
    945,596/1,415,053 = 1,415,053/x
  3. Step 3: Cross multiply
    945,596x = 1,415,053 × 1,415,053
  4. Step 4: Simplify right side
    945,596x = 2,002,374,992,809
  5. Step 5: Solve for x
    x = 2,002,374,992,809/945,596
  6. Step 6: Final answer
    x = 2,117,579.80

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.